SOLUTION: The dimensions of a rectangular garden were 4 m by 5 m. Each dimension was increased by the same amount. The garden then had an area of 56 m^2. Find the dimensions of the new ga

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Question 375921: The dimensions of a rectangular garden were 4 m by 5 m. Each dimension was increased by the same amount. The garden then had an area of 56 m^2. Find the dimensions of the new garden.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the amount of increase.
%284%2Bx%29%285%2Bx%29=56
20%2B4x%2B5x%2Bx%5E2=56
x%5E2%2B9x%2B20=56
x%5E2%2B9x-36=0
%28x%2B12%29%28x-3%29=0
Two solution but we only want the positive one.
x-3=0
x=3
4%2B3=7
5%2B3=8
The new garden is 7m by 8m.