Question

The length of a rectangle is 5 m less than six times its width. If the perimeter is 200 m, find the length and width of the rectangle.

Answer 1

Let W be the width of the rectangle. The length will then be 6W (six times the width). The area is length times width. if this equals 216, then you have an equation

(6W)(W) = 216

6W2 = 216

W2 = 36

W = 6.

The width is 6 ft and the length must then be 6W = 36 ft.

To find the perimeter, use the formula

P = 2L + 2W.

Plug in:

P = 2(36) + 2(6) = 72 + 12 = 84 ft.

The perimeter is 84 ft. (Remember that area has units length units squared and perimeter has units same as length.)

Explanation: