SOLUTION: A rectangular bedroom is 7ft. longer than it is wide. Its area is 875 square feet. What are its dimensions?

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Question 358050: A rectangular bedroom is 7ft. longer than it is wide. Its area is 875 square feet. What are its dimensions?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+7
LW=875
(W+7)W=875
W^2+7W-875=0
W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
W=(-7+-SQRT[7^2-4*1*-875])/2*1
W=(-7+-SQRT[49+3,500])/2
W=(-7+-SQRT3,549)/2
W=(-7+-59.57)/2
W=(-7+59.57)/2
W=52.57/2
W=26.285 FT. ANS. FOR THE WIDTH.
L=26.285+7=33.285 FT. ANS. FOR THE LENGTH.
PROOF:
26.285*33.285=875
875~875