The perimeter of the rectangle is 312cm. Find its area if one side of the rectangle is 11 times smaller than the other side.

Given:
One side of the rectangle is 11 times smaller than the other side.
The perimeter of the quadrangle is 312 centimeters.

Let one side of the figure be x centimeters.
Then the second side will be 11x centimeters.
Let’s make the equation:
x + x + 11x + 11x = 312;
24x = 312;
x = 312: 24;
x = 13.
One side is 13 centimeters long.
Find the length of the second side:
11 * 13 = 143 centimeters.
Let’s calculate the area of this rectangle:
13 * 143 = 1859 cm2.
Answer: the area of the quadrangle is 1859 cm2.