Question

Two similar squares have a scale factor of 3: 2. The perimeter of the small rectangle is 50 feet. Find the perimeter of the large rectangle.

Answer 1

The perimeter of the large rectangle is 75 feet.

Explanation:

We know that the perimeter is the sum of all side lengths. It scales just as the sides themselves.

Given that the two perimeters scale as 2:3.

This means if the perimeter of the small rectangle is 50 feet, the perimeter of the large rectangle.

(3/2) × 50 = 3 × 50=75 feet.

Thus, the perimeter of the large rectangle is 75 feet.