jemarcus1999
contestada

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?

Respuesta :

calculista

Answer:

The perimeter of the resulting rectangle is [tex]252\ ft[/tex]

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

[tex]z=\frac{x}{y}[/tex]

In this problem we have

[tex]z=3.5[/tex]

[tex]y=72\ ft[/tex]

substitute and solve for x

[tex]3.5=\frac{x}{72}[/tex]

[tex]x=3.5*72=252\ ft[/tex]

Answer:

252ft. Verified by correct test results.