SOLUTION: If two sides of a square field were increased by five feet the area of the field would increase by 245ft2. Find the area of the original square.

SOLUTION: If two sides of a square field were increased by five feet the area of the field would increase by 245ft2. Find the area of the original square.

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Question 342102: If two sides of a square field were increased by five feet the area of the field would increase by 245ft2. Find the area of the original square.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(X+5)^2=X^2+245
X^2+10X+25=X^2+245
X^2-X^2+10X=245-25
10X=220
X=220/10
X=22 THE ORIGINAL LENGTH OF THE SQUARE SIDES.
22+5=27 LENGTHS OF THE EXPANDED SQUARE SIDES.
PROOF:
27^2=22^2+245
729=484+245
729=729
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