SOLUTION: The dimensions of a rectangle garden were 3 yards by 10 yard. When both dimensions are increased by equal amounts,the area of the garden doubled. Find the dimensions of the new gar

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Question 951262: The dimensions of a rectangle garden were 3 yards by 10 yard. When both dimensions are increased by equal amounts,the area of the garden doubled. Find the dimensions of the new garden
Answer by lwsshak3(11628) About Me  (Show Source):
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The dimensions of a rectangle garden were 3 yards by 10 yard. When both dimensions are increased by equal amounts,the area of the garden doubled. Find the dimensions of the new garden
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let x=amt both dimensions are increased by
area=length*width
original area=10*3=30
double the area=60
x+3=new dimension of width
x+10=new dimension of length
..
(x+3)(x+10)=60
x^2+13x+30=60
x^2+13x-30=0
(x+15)(x-2)=0
x=2
x+3=5
x+10=12
new dimension of width=5 yds
new dimension of length=12 yds