# The area of the rectangle is 3,500 cm², and its length is 70 cm. What is the perimeter of the rectangle?

September 14, 2021 | education

| 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 the width of the rectangle is.

a = 3500/70 = 50 cm.

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

P = 2 * (50 + 70) = 2 * 120 = 240 centimeters.

Answer: 240 centimeters.