Q:

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

Accepted Solution

A:
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