SOLUTION: If the sides of a square are increased by 3 ​inches, the area becomes 81 square inches. Find the length of the sides of the original square.
Question 1066947: If the sides of a square are increased by 3 inches, the area becomes 81 square inches. Find the length of the sides of the original square. Found 2 solutions by Alan3354, Boreal:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! If the sides of a square are increased by 3 inches, the area becomes 81 square inches. Find the length of the sides of the original square.
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Area = 81
Find the length of the sides.
subtract 3.
You can put this solution on YOUR website! side is x
x^2 is area
make side x+3
area is (x+3^2)=x^2+6x+9=81
x^2+6x-72=0
(x+12)(x-6)=0
only positive root is x=6 inches,
sides of original were 6 x 6 inches
when they become 9 x 9, the area is 81 sq inches.
