SOLUTION: A square field has 4m added to its length and 2 m added it it's width, thereby creating a field with an area of 195m2. Find the dimensions of the orignial field.

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Question 845580: A square field has 4m added to its length and 2 m added it it's width, thereby creating a field with an area of 195m2. Find the dimensions of the orignial field.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Original square, x by x.

New square, x+2 by x+4, and area is 195:
%28x%2B2%29%28x%2B4%29=195;
x%5E2%2B6x%2B8=195
x%5E2%2B6x=187
x%5E2%2B6x-187=0
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187=11*17, and you'll note that 17+(-11)=6
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The quadratic expression is factorable. You finish.