Question

The length of a rectangle is 4 inches more than 3 times the width. If the area of the rectangle is 224 square inches, find the length and the width.

Answer 1

width = 8 inches; length = 28 inches

Explanation:

Length = 4 + 3w

width = w

Area = lw

224 = (4 + 3w) w

224 = 4w + 3w²

0 = 3w² + 4w - 224

( 3w + 28 )( w - 8) = 0

3w + 28 =0 ; w - 8 = 0

3w = -28 ; w = 8

w = -28/3

reject negative answer So width = 8 and the length = 4 + 3w

length = 4 + 3(8) = 4 + 24

Length = 28