The perimeter of the rectangle is 216cm, and one of its sides is 5 times smaller than the other.

The perimeter of the rectangle is 216cm, and one of its sides is 5 times smaller than the other. Find the sides and area of the rectangle.

Given:
The perimeter of the rectangle is 216 centimeters.
One of its sides is 5 times larger than the other.

Let the first side be x centimeters.
Then the length of the second side will be 5x centimeters.
Let’s make the equation:
x + x + 5x + 5x = 216;
12x = 216;
x = 216: 12;
x = 18.
The first side of the quadrangle is 18 centimeters long.
Let’s calculate the second side of the figure:
18 * 5 = 90 centimeters.
Find the area of the rectangle:
18 * 90 = 1620 cm2.
Answer: 18 cm; 90 cm; 1620 cm2.