SOLUTION: If two sides of a square field were increased by five feet, the area of the field would increase by 245 ft2. Find the area of the original space.
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Question 347410: If two sides of a square field were increased by five feet, the area of the field would increase by 245 ft2. Find the area of the original space.
Thanks Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Let's call the original side, x.
Thus the original area was x^2.
The new side is five more, or x+5.
And its area is .
The difference between them is 245, so we have
x^2 + 10x + 25 - x^2 = 245
Now solve...
10 x + 25 = 245
10x = 220
x = 22
x^2 = 484 ft^2
