SOLUTION: The length of a rectangle is 10 m less than twice the width of the rectangle. The area is 2800 m2. Find the length and width of the rectangle

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Question 236805: The length of a rectangle is 10 m less than twice the width of the rectangle. The area is 2800 m2. Find the length and width of the rectangle
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
L=2W-10
AREA=LW
2,800=(2W-10)W
2,800=2W^2-10W
2W^2-10W-2,800=0
2(W^2-5W-1,400)=0
2(W-40)(W+30)=0
W-40=0
W=40 ANS. FOR THE WIDTH.
L=2*40-10
L=80-10
L=70 ANS. FOR THE LENGTH.
pROOF:
2,800=40*70
2,800=2,800
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