Question

The area of a rectangle is 560 square inches. The length is 3 more twice the width. Find the length and width.

Answer 1

l = 35 inches and b = 16 inches

Explanation:

Let length be b and width be b.

The area of a rectangle is 560 square inches.

Length is 3 more twice the width.

l = 2b+3 ....(1)

We know that,

Area = length × width

560 = (2b+3)b

`2b^2+3b-560=0\\\\b=16,-17.5`

Put b = 16 in equation (1).

l = 2(16)+3

= 35 inches

So, the length is 35 inches and the width is 16 inches.