# SOLUTION: The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the length of the rectangle?

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 Click here to see ALL problems on Miscellaneous Word Problems Question 293944: The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the length of the rectangle?Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!18=2L+2W 20=LW OR L=20/W 18=2*20/W+2W 18=40/W+2W 18=(40+2W*W)/W 18=(40+2W^2)/W 40+2W^2=W*18 40+2W^2=18W 2W^2-18W+40=0 2(W^2-9W+20)=0 2(W-5)(W-4)=0 W-5=0 W=5 ANS. L=20/5=4 ANS. W-4=0 W=4 ANS. L=20/4=5 ANS. PROOFS: 20=4*5 20=20 18=2*4+2*5 18=8+10 18=18