One side of the rectangle is twice as large on the other. Find the area of a rectangle if the perimeter is 54 cm.

Let’s designate the length of one side of the rectangle – x centimeters, then the length of the second side of the rectangle is – 2x centimeters. Let’s make an equation and find both sides of the rectangle:

2 (x + 2x) = 54.

x + 2x = 54: 2.

3x = 27.

x = 27: 3.

x = 9.

One side of the rectangle is 9 centimeters long, then the second side of the rectangle is twice as large and equal to:

9 * 2 = 18 centimeters.

Find the area:

18 * 9 = 162 cm².

The area of the rectangle is 162 cm².

Answer: the area of the rectangle is 162 cm².