The length of a rectangle is nine inches more than its width. Its area is 850 square inches. Find the width and length of the rectangle.

width = 25 inches

length = 34 inches

Step-by-step explanation:

width x length = 850 in²

w x (9 + w) = 850 in²

9w + w²=850 in²

9w + w²-850 = 0

solve for w using quadratic formula

w = {-9 ±√ (9) ²-4 (1) (-850) } : 2 (1)

w = 25; - 34

The width is 25 because measurements can't be negative.

width = 25

length = 25+9=34