What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 5.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 50 cm, area = 155.25 cm2 Perimeter = 50 cm, area = 1,452 cm2 Perimeter = 154 cm, area = 155.25 cm2 Perimeter = 154 cm, area = 1,452 cm2

Answers

Answer 1

we know that
scale factor =5.5
the dimensions of the original rectangle are
length is 8 cm, and the width is 6 cm.
original perimeter=2*[8+6]-----> 28 cm
original area=8*6----> 48 cm²

perimeter of the larger rectangle=[scale factor]*original perimeter
perimeter of the larger rectangle=5.5*28-----> 154 cm

area of the larger rectangle=scale factor²*area original rectangle
area of the larger rectangle=5.5²*48-----> 1452 cm²

the answer is
perimeter=154 cm
area=1452 cm²

Answer 2

Answer:
perimeter is 154 cm
area is 1452 cm^2
This means that the last option is the correct one

Explanation:
1- getting the new dimensions:
We are given that the scale factor is 5.5
This means that:
new length = old length * scale factor
new width = old width * scale factor
We are given that:
scale factor = 5.5
old length = 8 cm
old width = 6 cm
Therefore:
new length = 8 * 5.5 = 44 cm
new width = 6 * 5.5 = 33 cm

2- getting the perimeter:
perimeter of the rectangle can be calculated as follows:
perimeter = 2(length + width)
We have:
length = 44 cm
width = 33 cm
This means that:
perimeter = 2(44+33)
perimeter = 2(77)
perimeter = 154 cm

3- getting the area:
area of rectangle can be calculated as follows:
area = length * width
We have:
length = 44 cm
width = 33 cm
This means that:
area = 44 * 33
area = 1452 cm^2

Hope this helps :)

Related Questions

what fractional part of a pound is an ounce

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16 oz in 1lb, 1/16 of a pound is one ounce.

Which shows a correct order to solve this story problem?

Simone was arranging a party for some friends. She needed 25 balloons and 12 packs of napkins. Napkins cost $4.50 per pack and balloons cost $0.75 each.

How much money did Simone spend?

A.

Step 1: Multiply $0.75 by 12.

Step 2: Multiply $4.50 by 25.

Step 3: Add the two products.

B.

Step 1: Add $0.75 and 12.

Step 2: Add $4.50 and 25.

Step 3: Multiply the two sums.

C.

Step 1: Multiply $0.75 by 25.

Step 2: Multiply $4.50 by 12.

Step 3: Add the two products.

D.

Step 1: Calculate the cost of 1 napkin.

Step 2: Multiply $0.75 by 25.

Step 3: Add the two numbers together.

Answers

Selection C represents the way the costs would be added at the store.

Larry has a cylinder shaped pitcher that is 13 inches long and a radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and a radius of 6 inches

Answers

The approximate volume of Sandra's pitcher is 904.78 cubic inches.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

For Larry's picture, we have r = 4 inches and h = 13 inches. Substituting these values into the formula, we get:

V = π(4^2)(13)

V ≈ 804.25 cubic inches

Therefore, the approximate volume of Larry's picture is 804.25 cubic inches.

For Sandra's pitcher, we have r = 6 inches and h = 8 inches. Substituting these values into the formula, we get:

V = π(6^2)(8)

V ≈ 904.78 cubic inches

Therefore, the volume of cylinder will be 904.78 cubic inches.

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The complete question is;

Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?

EXPLAIN HOW A NUMBER LINE CAN BE USED TO FIND THE DIFFERENCE
FOR 34-28

Answers

You can count the marks on the line + the lower number to have the answer of 14

A number line can help you solve this equation because it can specifically tell the exact spots between the numbers and you can easily get the answer without checking your answer!

100 to 150. What is the percent of change?

Answers

Percent change = [(100 - 150) / 100] x 100 = 50 % (increase) so basically just 50! (Hope this helps!)

We have to find the percentage change from 100 to 150.

To find percentage we have to subtract the small number from the greater and number and divide it with the original number and then multiply it with 100.

Here subtracting the smaller from greater, we will get,

[tex] (150-100) = 50 [/tex]

Now the percentage of change is,

[tex] (\frac{50}{100} )(100) [/tex]%

[tex] \frac{(50)(100)}{100} [/tex]%

[tex] \frac{5000}{100} [/tex]%

[tex] 50 [/tex]%

We have got the required answer. The percentage of change is 50%.

What is the equation of a line that is parallel to x=7/5x+6 and that passes through the point (2,-6)

Answers

the answer is below
we're given
[tex]y = \frac{7}{5} x + 6[/tex]
we need to convert to point slope form with our slope and point given
point slope form is
[tex] y - y1 = m(x - x1)[/tex]
so we fill in slope and our point

[tex]y + 6 = \frac{7}{5} (x - 2)[/tex]
we simplify the left side and get
[tex]y + 6 = \frac{7}{5} x - \frac{14}{5} [/tex]
then we subtract 6 from the left and get
this as our final answer
[tex]y = \frac{7}{5} x - \frac{44}{5} [/tex]

what is 16 - 5y = 1 - 4y

Answers

this is the answer15=1y. It is this because you have to separate the 4 and 5y from the other two numbers because you can't do anything to it because they are not the same

The solution to the equation 16 - 5y = 1 - 4y is y = 15.

Here, we have,

To solve the equation 16 - 5y = 1 - 4y, you can follow these steps:

Step 1: Combine like terms on both sides of the equation.

16 - 5y = 1 - 4y

Step 2: Simplify by subtracting 1 from both sides.

16 - 5y - 1 = 1 - 4y - 1

15 - 5y = -4y

Step 3: Simplify further by subtracting -4y from both sides.

15 - 5y + 4y = -4y + 4y

15 - y = 0

Step 4: Isolate the variable term by subtracting 15 from both sides.

15 - y - 15 = 0 - 15

-y = -15

Step 5: Multiply both sides by -1 to solve for y.

-y * -1 = -15 * -1

y = 15

Therefore, the solution to the equation 16 - 5y = 1 - 4y is y = 15.

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Kenji's dog ate 3/12 of e treats in a box of dog treats on Monday. His dog ate 2/12 of the treats on Tuesday. What fraction more of the box of the treats did his dog eat on Monday than on Tuesday?

Answers

1/12 of the box of dog treats

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The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?

Answers

The answer to the question is :

A) Mallard Population

The reason this is the answer is because the question asks for the term that best describes the TOTAL number of Mallards in the pond, and the right term, or phrase, would be Mallard Population.

The required term "population of Mallards " would describe the total number of Mallards in the pond.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
In the table shows the population of different duck species at a local pond the term "population of Mallards " would describe the total number of Mallards in the pond.

Thus, the required term "population of Mallards " would describe the total number of Mallards in the pond.

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Find the area of a regular pentagon whose apothem is 25.1 mm and perimeter is 182 mm.

Answers

Divide the pentagon into 5 triangles each with an outermost side length of 182/5 or 36.4. You can also know that the height of all these triangles will be the length of the aphorism or 25.1 mm so you can find the area of one triangle using A=1/2 bh, that gives you 456.82, then multiply this by your 5 as to include all 5 triangles in the pentagon which gives you 2284.1 mm^2. I hope it helps

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41

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Answers

The answer is C. 37. To get this, look at the line that makes up to left side of the box.

Answer:

Step-by-step explanation:

Leslie drank 4/5 pint of juice and Hank drank 7/10 pint of juice. Who drank more

Answers

Leslie did. If you multiply 4/5 by two, you get 8/10. 8/10 is greater than 7/10.

Leslie, since 4/5 is equal to 8/5 (multiply the top and bottom by two, to have the same denominator as 7/10) which is greater than, 7/10

Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town. Which statements are true? Select each correct answer. A To estimate the percentage well, she would need to collect data for all 35,000 families. B Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer. C If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer. D Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.

Answers

Answer:

It is A because if you read this text you will see the information

Step-by-step explanation:

What is the amount of money in a bank account called?

A. Debit
B. Check register
C. Account total
D. Balance

Answers

D. Balance
:)

Support Florida and its movement!

Answer:

D. Balance is the correct answer

Step-by-step explanation:

The amount of money in a bank account called Balance.

In the bank, the amount of money somebody has available in his savings account or the checking account is called account balance.

The balance is the net amount balance available in an individual account after all the down payment and credits have been adjusted with all the charges.

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Answers

Convert the whole number or mixed number to an improper fraction and multiply that by the reciprocal of the fraction.

Example:
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If 9i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
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Answers

Answer:

Step-by-step explanation:

Edge 2020

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Answers

multiply:
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Hello there friend :)

These are just the few simple steps to get you to your answer!

1. Multiply 1.17 x 1.5 = 1.755

2. Round two places

3. After rounded two places, Your answer is 1.76 minutes.

Complete Setence Answer: It would take Carl 1.76 minutes to run 1.5 laps.

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Answers

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At the beginning of the week, Paloma opened a new box of 250 coffee creamers. Forty-four coffee creamers were used during the week. Which equation could be used to find x, the number of coffee creamers left at the end of the week?
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Answers

Hello, the correct answer would be B. Because if she had 250 then used 44 you would subtract 44 from 250 to find x

Hope this helps :)

I disagree it wouldn’t be b bc you would get a negative number the answer is D you need to subtract the part from the whole

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Answers

Hey there!

Firstly, we have to “add” the number “4” on each of your sides

Like: -2a -4 + 4> -8 +4
Cancel: -4 + 4 because it will give you “0”
Keep: -8+4 because it gives you “-4” and we have paid it off with -2a

Like: -2a>-4

Divide each of the sides by “-2”

Like: -2a/2 > -4/-2

Cancel: -2a/2 because it gives us “1”

Keep: -4/-2 because that’ll give us the answer on the left side of the inequality

So, a < 2 would be your answer

Good luck on your assignment and enjoy your day

~LoveYourselfFirst:)

-2a - 4 > -8
add 4 to both sides

-2a - 4 + 4 > -8 + 4
-2a > -4

divide both sides by -2 AND change the direction of the sign because we're dividing by a negative

a < 2

ANSWER: a < 2

Hope this helps! :)

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Answers

3w+12
I have attached a photo of how to solve these problems

In the past you paid $800
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Answers

Hello! $800 was the past amount for rent and now it's $900. 900 - 800 is 100. that's a $100 difference. In order to find the percent increase in the rent, we can write and sovle a proportion. It would be set up as change/original = x/100, where change is difference between two numbers and original is the previous price. It would be set up like this:

100/800 = x/100

Let's crossmultiply the values. 100 * 100 is 10,000. 800 * x is 800x. That makes 10,000 = 800x. Now, divide each side by 800 to isolate the x. 800x/800 cancels out. 10,000/800 is 12.5 or 12.5%. Let's check this by multiplying by 112.5%. 800 * 112.5% (1.125) is 900. That's what we're looking for! There. x = 12.5%. The percent increase is 12.5%.

900-800=100.. 100/800=.125 . 125x100=12.5%

what is 4x+6+3=17? I need help with my algebra homework

Answers

Hi there!

To solve for x, we need to simplify this by combining like terms.

4x + 6 + 3 = 17
4x + 9 = 17
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x = 2

Hope this helps!

X=2 my dude

4x+6+3=17

Do 3-17 so it would be

4x+6= 14

Then do 6-14= 8 so

4x=8 all over 4

X=2

a circle has a diameter of 12 inches. What is the circumference in terms of pi?

Answers

The circumference is 37.68, because 12 * 3.14 = 37.68.

Answer:

12πinches

Step-by-step explanation:

C=dπ=12π

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(Picture is shown!)

Answers

Your answer is 1 and 2/5

3 - 1 3/5= 1 2/5 or 1.4

first u simplify 1 3/5 which is 8/5

the expression turns into 3 - 8/5

3 8 2
_ - _ = 1 _
1 5 5

to answer, u have to find a gcf to find the common denominators.

15/5 - 8/5 = 7/5
7/5 = 1 2/5

or

u can put them into decimal:

3 - 1.6 = 1.4
1.4 = 1 2/5
(4/10 simplified is 2/5)

so, the answer is 1 2/5 or 1.4

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Answers

Trapezoid because it has 4 sides and one pair of parallel sides and one pair of non parallel sides

The answer is a trapezoid

Answer this correctly plz

Answers

The area of the triangle is
  A = (1/2)bh
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That triangular area is not carpeted, so the carpet area is
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Line b passes through the orgin and through the point (4,-3/2), write a eqation of the line that is parallel to line b and passes through the point (0,7). show all work, and report the answer in slope intercept form

Answers

Line B has slope m = (-3/2-0)/(4-0) = -3/8. The given point is the y-intercept (b = 7), so your equation is
y = mx +b . . . . . . . don't confuse the intercept variable (b) with the name of the line (here I called it B)
y = (-3/8)x +7

Y=-3/2x+7. Hope this helps!

!! 30 PTS !!
Hello, I need some help on this Geometry Area question:

Answers

You have to multiply 54 times 1.2 and you will get 64.8. So, 64.8 is your area.

Which statement best describes the value of 8

Answers

Final answer:

The question relates to the process of rounding numbers, a fundamental concept in mathematics where 8 usually causes an increase in the value of the digit before it.

Explanation:

Based on the information provided in the question, it appears to be related to the concept of rounding numbers in mathematics. Rounding is a mathematical procedure used to shorten a number to a certain number of significant digits or a certain decimal place. When you round the number 8, it can impact the number it is associated with, such as rounding numbers up in the case of 5 or greater, or keeping them the same if the digits are less than 5. For example, if a 1 is followed by an 8, rounding replaces the 1 with a 2. If an integer, such as 2, is followed by an 8 and we're dropping decimal places, the 2 may be dropped. In the case of aesthetics or grades, the number 8 might have a different interpretation, such as the value given on an 8-point scale.

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