SOLUTION: If each side of a square is increased by 5 meters, the area becomes 121 square meters. Find the length of a side of the original square.

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Question 155935: If each side of a square is increased by 5 meters, the area becomes 121 square meters. Find the length of a side of the original square.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
We based the measurement on the NEW dimensions:
sides=s%2B5 -----------> each side increased by 5 meters
Area=121m%5E2 ---------> NEW Area
So,
A=%28s%2B5%29%5E2
121=s%5E2%2B10s%2B25
s%5E2%2B10s%2B25-121=0
s%5E2%2B10s-96=0
Factor (perfect square):
%28s%2B16%29%28s-6%29=0
2values: s=-16m ----------> DON'T USE
s=6m ---------------------> USE, side of ORIGINAL SQUARE
In doubt? Use the side for the new AREA.
121m%5E2=%286%2B5%29%5E2
121m%5E2=11%5E2
121m%5E2=121m%5E2
Thank you,
Jojo