SOLUTION: the area of a rectangular filed is 450m^2and the difference between the lengths of two adjacent sides is 7m. find the of the perimeter of the rectangle.

Question 555567: the area of a rectangular filed is 450m^2and the difference between the lengths of two adjacent sides is 7m. find the of the perimeter of the rectangle.
Answer by mathstutor494(120) (Show Source): You can put this solution on YOUR website!
Let width be "x"
So length = x+7
Hence area = x*(x+7) which is equal to 450
> x^2 + 7x = 450
> x^2 + 7x -450=0
> x^2 + 25x - 18x -450=0
> x(x+25) -18(x+25)=0
> (x-18) (x+25)
> x = 18 or -25
Ans = length of the shorter side 18m

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