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The length of a rectangle couch 2 feet more than 2 times than width. The area of the couch 144 square feet. Find the dimensions of the couch?

Sagot :

8 feet by 18 feet

Step-by-step explanation:

L=2 W+2

AREA=LW

144=(2W+2)W

144=2W^2+2W

2W^2+2W-144=0

2(W^2+W-72)=0

2(W-8)(W+9)=0

W-8=0

W=8 ANS. FOR THE WIDTH

L=2*8+2=16+2=18 ANS. FOR THE LENGTH.

PROOF:

144=8*18

144=144