Question 301909
The width of a rectangle is 10 inches shorter than its length. Find the width of the rectangle if the area is 119 square inches.

Let's the width be "w" and length be "L"

w = (L-10) inches

Area of a rectangle = width x length 

119 = L(L-10)

L^2 - 10L = 119

L^2 - 10L - 119 = 0

(L-17)(L+7)=0

L = 17 or L =-7 (N/A)

Therefore, w = 17 - 10 = 7 

Answer: Length = 17 inches and Width = 7 inches