A rectangular piece of carpet covers 200 yd.² the width is 9 yards less than Atlantis find the length and width of the carpet to the nearest 10th of a yard

Answer 1

Area = A = 200 = wL

w=L-9

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

L^2 -9L -200 = 0

L^2 -9L +81/4 = 200 +81/4

(L-9/2)^2 = 881/4

L-9/2 = sqr881/2 = 29.68/2 = about 14.84

Length = 14.84+4.5 = 19.34 yards= 19.3 yd

w = 10.34 yards= about 10.3 yd

19.3 x 10.3 = about 199 = about 200 yd^2