# The perimeter of the rectangle is 36 cm and one side is 3 cm larger than the other.

June 30, 2021 | education

| **The perimeter of the rectangle is 36 cm and one side is 3 cm larger than the other. find the ratio of the rectangle’s width to its length.**

Let’s solve this problem using the equation.

Let the length of the rectangle be x centimeters, then its width is (x + 3) centimeters. We know that the perimeter of this rectangle is 36 centimeters. Let’s compose and solve the equation:

2 * (x + 3 + x) = 36;

x + 3 + x = 36: 2;

x + 3 + x = 18;

x + x = 18 – 3;

x + x = 15;

x * (1 + 1) = 15;

x * 2 = 15 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 15: 2;

x = 7.5 centimeters – the length of the rectangle;

7.5 + 3 = 10.5 centimeters – the width of the rectangle;

7.5 / 10.5 = 75/105 = 15/21 = 3/7.

Answer: 3/7.

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