The perimeter of the rectangle is 30 cm, one of its sides is 4 times larger than the other.

The perimeter of the rectangle is 30 cm, one of its sides is 4 times larger than the other. Find the area of this rectangle.

Given:
The perimeter of the rectangle is 30 centimeters.
One of its sides is 4 times larger than the other side.

Let one side of the figure be x centimeters.
Then the length of the second side of the quadrangle will be 4 centimeters.
Let’s make the equation:
x + x + 4x + 4x = 30;
10x = 30;
x = 30: 10;
x = 3.
Let’s calculate the second side:
3 * 4 = 12 centimeters.
Find the area of the rectangle by the formula S = a * b, where a and b are the sides of the figure:
S = a * b = 12 * 3 = 36 cm2.
Answer: the area is 36 cm2.