A small rectangle has a width of 4 feet and a length of 10 feet. A larger, similar rectangle has a length of 12 feet. What is the perimeter of the larger rectangle?

33.6 feet

Step-by-step explanation:

Since the small rectangle has a width of 4 feet and a length of 10 feet. It simply means that the length is 2.5 times the width.

A larger, similar rectangle has a length of 12 feet. The width will be:

= 12 / 2.5

= 4.8 feet

The perimeter of the larger rectangle will then be:

= 2(Length + Width)

= 2(12 + 4.8)

= 2 × 16.8

= 33.6 feet

use the pythagorean theorem twice
alrighty
so
remember for legs length a and b and hytponuse c in a right triangle
a²+b²=c²

we need AD and DC

so
AD²+7.9²=9.4²
AD=√25.95

DC²+7.9²=23.2²
DC=√475.83

so
AD+DC=base=(√25.95)+(√475.83)≈26.9076

AC≈26.91 units