The perimeter of the rectangle is 36 cm. Its length is 2 times its width. What is the area of the rectangle exactly?

1) Find the sides of the rectangle.

Let the width of the rectangle be x meters, then its length is 2 meters (if it is … times more, then it must be multiplied). The perimeter (the perimeter is the sum of the lengths of all sides) of the rectangle is (x + x + 2x + 2x) meters or 36 meters. Let’s make an equation and solve it.

x + x + 2x + 2x = 36;

6x = 36;

x = 36: 6;

x = 6 (meters) – width;

2x = 6 * 2 = 12 (meters) – length.

2) Find the area of the rectangle. The area of a rectangle is equal to the product of length and width. S = ab.

S = 12 * 6 = 72 (cm ^ 2).

Answer. 72 cm ^ 2.