rectangular piece of carpet covers 200 yd2. The width is 9 yd less than the length. Find the Flglh and width. Round to the nearest tenth of a yard.

Question

rectangular piece of carpet covers 200 yd2. The width is 9 yds less than the

length. Find the Flglh and width. Round to the nearest tenth of a yard.

Answer 1

Area = A = LW = L(L-9) = L^2 -9L = 200

L^2 - 9L + (9/2)^2 = 200 + (9/2)^2

(L-9/2)^2 = 800/4 + 81/4

L- 9/2 = (1/2)sqr881

L= 9/2 + or - about 29.7/2 = 38.7/2 = 19.3 yards long

W = 19.3-9 = 10.3 yards wide