Question

A rectangle has a a perimeter of 72 ft. The length and width are scaled by a factor 3.5.

What is the perimeter of the resulting rectangle?

Answer 1

252ft. Verified by correct test results.

Answer 2

The perimeter of the resulting rectangle is
`252\ ft`

Explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x------> the perimeter of the dilated rectangle

y-----> the perimeter of the original rectangle

so

`z=(x)/(y)`

In this problem we have

`z=3.5`

`y=72\ ft`

substitute and solve for x

`3.5=(x)/(72)`

`x=3.5*72=252\ ft`