Question

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

Answer 1

Perimeter of a rectangle:
P = 2 L + 2 W,  P = 72 ft
P ( new ) = 2* 3.5 L + 2 * 3.5 W = 3.5 * ( 2 L + 2 W ) = 3.5 P
P ( new ) = 3.5 * 72 = 252 ft
Answer:
The perimeter of the new rectangle is 252 ft.

Answer 2

Answer:

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

Step-by-step 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

$z=\frac{x}{y}$

In this problem we have

$z=3.5$

$y=72\ ft$

substitute and solve for x

$3.5=\frac{x}{72}$

$x=3.5*72=252\ ft$