# The perimeter of the rectangle is 216 cm; the second side is 5 times larger than the first, find the area of the rectangle.

March 25, 2021 | education

| 1) First, let’s find the lengths of the sides of the rectangle. To do this, write an equation where we represent its width as x, and its length as 5x.

(x + 5x) * 2 = 216;

6x * 2 = 216;

6x = 216/2;

6x = 108;

x = 108/6;

x = 18.

The rectangle is 18 centimeters wide.

2) Calculate the length of the rectangle.

18 * 5 = 90.

The rectangle is 90 centimeters long.

3) Let us find its area using the obtained data on the length of its sides.

90 * 18 = 1620.

Answer: The area of a rectangle is 1620 square centimeters.

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