Question

The length of a rectangle is 6 centimeters greater than the width. The area of the

rectangle is 112 square centimeters. Find the length and the width.

Answer 1

Explanation:

Width = w

Length = w + 6

Area = 112 sq. cm

length * width = 112

(w +6 ) *w = 112

w² +6w -112 = 0

Sum = 6

Product = -112

Factors = 14 , -8 {14 - 8 = 6 , (-8)*14 = -112}

w² + 14w - 8w -112 = 0

w(w + 14) - 8(w + 14)=0

(w +14)(w -8) = 0 {Ignore w + 18 as measurement won't be negative}

w - 8 = 0

w = 8 ft

Length = 8 + 6 = 14 ft