SOLUTION: The sides of a square are increased by a feet, and as a result, increasing the area by b square feet. Determine the side of the original square. A square has equal sides. Ar

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Question 1100243: The sides of a square are increased by a feet, and as a result, increasing the area by b square feet. Determine the side of the original square.
A square has equal sides.
Area of square = s^2
Unsure how to continue. Non-homework.

Answer by ikleyn(52895) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the unknown length of the original square.


Then you have this equation


%28x%2B1%29%5E2+-+x%5E2 = b.


Simplify and solve for x:


x%5E2+%2B+2x+%2B+1+-+x%5E2 = b,

2x + 1 = b.


x = %28b-1%29%2F2.

Solved.