Two similar rectangles have a scale factor of 3:2. The perimeter of the small rectangle is 50 feet. What is the perimeter of the large rectangle measured in feet?

The perimeter of a rectangle is the sum of the dimension of the rectangle

The ratio of the side length is given as:

Represent the perimeters of both rectangles with

P1 and P2.

So, we have:

The smaller rectangle has a perimeter of 50 feet.

So, we have:

Express as fraction

Multiply both sides by 50

Hence, the perimeter of the larger rectangle is 75 feet

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The perimeter of the large rectangle measured 75 feet.

Step-by-step explanation:

For two similar rectangles,

The perimeter of the small rectangle is 50 feet.

Given ratio between two similar rectangles: 3:2

So,

Hence, the perimeter of the large rectangle measured 75 feet.

sine

step-by-step explanation: