The length of the rectangle is 8 times longer than its width, and the perimeter is 90cm. Find the area of a rectangle

1. Suppose the width of the rectangle is x cm.

2. Since from the condition of the problem we know that the length of the rectangle is 8 times greater than its width, therefore it is equal to x * 8 cm.

3. And now we write down the equation and calculate what the width of the rectangle is if its perimeter is 90 cm.

2 * (x + 8 * x) = 90;

2 * 9 * x = 90;

18 * x = 90;

x = 90/18;

x = 5 cm.

4. Now let’s find out what the length of the rectangle is.

8 * 5 = 40 cm.

5. Now let’s calculate the area of the rectangle.

40 * 5 = 200 cm ^ 2.