The perimeter of the rectangle is 36 cm. Its length is 2 times greater than its width. Find the area.

It is known from the condition that the perimeter of the rectangle is 36 cm. It is also known that its length is 2 times greater than the width. In order to find the area of a rectangle, we first find the length and width of the rectangle.
Let’s denote the width of the rectangle with the variable x cm, then the length can be written as 2x cm.
Formula for finding the perimeter of a rectangle:
P = 2 (a + b);
2 (x + 2x) = 36;
3x = 36: 2;
3x = 18;
x = 18: 3;
x = 6 cm width, length 6 * 2 = 12 cm.
We look for the area of the rectangle by the formula:
S = a * b = 6 * 12 = 72 cm.