Question 885576
The length of the rectangle is twice its width. If its length is decrease by 3m and its width is increase by 2m, the area resulting rectangle is 30 square mater. Find the dimensions of the rectangle
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let x=width of rectangle
2x=length of rectangle
..
(2x-3)(x+2)=30
2x^2+x-6=30
2x^2+x-36=0
(2x+9)(x-4)=0
2x+9=0
x=-9/2(reject, x>0)
or
x-4=0
x=4
2x=8
dimensions of the rectangle: 4m by 8m