The width of the rectangle is 9 cm less than its length. If the perimeter of the rectangle is 90 cm, then its area is.

We draw up an equation in which we write the width of the rectangle as the unknown value of x.

Since it is 9 cm less than the length, then the length will be equal to: x + 9 cm.

Thus, the perimeter will be:

2 * (x + x + 9) = 2 * (2 * x + 9) = 4 * x + 18.

4 * x + 18 = 90.

4 * x = 90 – 18.

4 * x = 72.

x = 72/4 = 18 cm (width).

x + 9 = 18 + 9 = 27 cm (length).

To find the area of a rectangle, we multiply the width by the length.

18 * 27 = 486 cm2

Answer: The area of the rectangle is 486 cm2