SOLUTION: The area of a rectangular parcel of land is 720 square meters. The length of the land is 4 meters less than twice the width. A. Write an equation that can be used to find the dime

Algebra ->  Rectangles -> SOLUTION: The area of a rectangular parcel of land is 720 square meters. The length of the land is 4 meters less than twice the width. A. Write an equation that can be used to find the dime      Log On


   

Question 143290: The area of a rectangular parcel of land is 720 square meters. The length of the land is 4 meters less than twice the width.
A. Write an equation that can be used to find the dimensions of the land.
B. Solve the equation written in part A to find the dimensions of the land.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=L*W
A) 720=(2W-4)W
B) 720=2W^2-4W
2W^2-4W-720=0
2(W^2-2W-360)=0
2(W-20)(W+18)=0
W-20=0
W=20 FOR THE WIDTH.
L=2*20-4
L=40-4
L=36 FOR THE LENGTH.
PROOF:
20*36=720
720=720