SOLUTION: If one pair of opposite sides of a square is increased by 5cm, and the other pair is increased by 4cm, the area of the shape will be 101cm^2 more than the original area. What is th

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Question 1094110: If one pair of opposite sides of a square is increased by 5cm, and the other pair is increased by 4cm, the area of the shape will be 101cm^2 more than the original area. What is the length of the square?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your equation from the condition is


(x+5)*(x+4) = x^2 + 101  ====>

x^2 + 9x + 20 = x^2 + 101  ====>

9x = 101-20 = 81  ====>  x = 81%2F9 = 9.


Answer.  9 cm.