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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

Respuesta :

calculista
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
Louli
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 :)

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