SOLUTION: The length of a rectangle is twice as its width. Its area is 6 more than the width. Find the dimension of the rectangle.

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 Question 54369: The length of a rectangle is twice as its width. Its area is 6 more than the width. Find the dimension of the rectangle.Answer by ankor@dixie-net.com(15658)   (Show Source): You can put this solution on YOUR website!The length of a rectangle is twice as its width. L = 2W : Its area is 6 more than the width. Find the dimension of the rectangle. L*W = W+6 : Substitute 2W for L in the above equation, Find W: 2W * W = W + 6 2W^2 - W - 6 = 0; a quadratic equation : Factos to: (2W + 3)(W - 2) = 0 2W = -3 W = -1.5 and W = +2 is the width : That makes the Length = 4 : Check: Area = Width + 6 2*4 = 2 + 6