The perimeter of the rectangle is 80 cm. The width is 1/10 of the perimeter. Find the area of a rectangle?

By determining the area of a rectangle:

S = a * b, where a is width, b is length.

To find the area, you need to find the width and length.

Let the length be x cm, and the width – 1/10 * P = 80/10 = 8 (cm). Knowing the perimeter and width, we can create an equation and solve it:

P = 2 * (a + b);

80 = 2 * (x + 8);

80 = 2x + 16;

2x = 80 – 16;

2x = 64;

x = 64/2;

x = 32.

If x = 32, then the length is 32 cm, and the area: S = 8 * 32 = 256 (cm ^ 2).

Answer: S = 256 cm ^ 2.

Verification:

80 = 2 * (32 + 8);

80 = 2 * 40;

80 = 80.