SOLUTION: Problem solving questions When a square field has 5m added to it's width and 2m added to it's length the area becomes 130m^. Find the original dimensions of the square. The h

Algebra ->  Equations -> SOLUTION: Problem solving questions When a square field has 5m added to it's width and 2m added to it's length the area becomes 130m^. Find the original dimensions of the square. The h      Log On


   

Question 1081279: Problem solving questions
When a square field has 5m added to it's width and 2m added to it's length the area becomes 130m^. Find the original dimensions of the square.
The hypotenuse of a right angle triangle is 13cm. One side is 7cm longer than the third slide. What are the dimensions of the triangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two separate description & questions given. Just the first is being done or started here.

x, side of the square field;
%28x%2B5%29%28x%2B2%29=130
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x%5E2%2B7x%2B10-130=0
x%5E2%2B7x-120=0
Maybe factorable, maybe not...
x=%28-7%2B-+sqrt%2849%2B4%2A120%29%29%2F2

x=%28-7%2B-+sqrt%28529%29%29%2F2
x=%28-7%2B-+23%29%2F2, and that would have been factorable, since discriminant 529 is a perfect square...

x=8 or x=15

Check both of these values to see if either of them does or does not work according to the description.


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In fact, x=15 DOES NOT work, but x=8 does.