SOLUTION: The dimensions of a rectangular flower garden were 8 m by 15 m . Each dimension was increased by the same amount. The garden then had an area of 198 m2. Find the dimensions of the

Question 456531: The dimensions of a rectangular flower garden were 8 m by 15 m . Each dimension was increased by the same amount. The garden then had an area of 198 m2. Find the dimensions of the new garden.
Answer by tquon(6) (Show Source): You can put this solution on YOUR website!
If each side was raised by the same amount, x, then (8+x)*(15+x)=198. So 120+23x+x^2=198. subtract 198 from each side to get x^2+23x-78. You can factor this to get (x-3)*(x+26). Your possible solutions for x are -26 and 3, but since it cant be increased by a negative number, 3=x. so back to the original equation substituting in for x, (8+3)*(15+3)=11*18=198. so the new dimensions are 11mx18m.
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