Question

The length of a rectangle is 10 more than the width. If the

area is 24 square inches, what are the dimensions?

Answer 1

Dimensions : L = 12 inches, Width = 2 inches

Explanation:

Let width be w

Let length be w + 10

Area = length x width

24 = w x (w + 10)

`24 = w^2 + 10w\\\\w^2 + 10w - 24 = 0\\\\w^2 +12w -2w -24 = 0\\\\w(w+12) -2(w+12) = 0\\(w-2)(w+12)=0 \\w = 2 , -12`

Since width is a side of a rectangle , it cannot be negative. so w = 2 inches .

Therefore , length = w + 10 = 12inches