SOLUTION: each side of a square is lengthened by 1 inch. the area of this new, larger square is 100 square inches. find the length of a side of the original square.
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Question 709485: each side of a square is lengthened by 1 inch. the area of this new, larger square is 100 square inches. find the length of a side of the original square. Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website! AREA=S^2
AREA=(S+1)^2
100=S^2+2S+1
S^2+2S+1-100=0
S^2+2S-99=0
(S+11)(S-9)=0
S-9=0
S=9 IN. ANS. FOR THE ORIGINAL SIDES.
PROOF:
100=(9+1)^2
100=10^2
100=100
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