# The area of a rectangle is 560 square centimeters. Find the sum of the lengths of its sides

June 30, 2021 | education

| **The area of a rectangle is 560 square centimeters. Find the sum of the lengths of its sides if the length of the rectangle is 80cm.**

To solve this problem, recall the formula for the area of a rectangle. The area of the rectangle is equal to the product of the length and the width. S = a * b, where a is the length and b is the width. The perimeter of a rectangle is the sum of the lengths of all its sides. Since in a rectangle the opposite sides are equal, then P = 2 * (a + b), where a is the length, b is the width. Let’s calculate what is the second side of the rectangle.

a = 560/80 = 7 centimeters.

Let’s calculate what the perimeter of the rectangle is.

P = 2 * (80 + 7) 2 * 87 = 174 centimeters.

Answer: 174 centimeters.

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