# SOLUTION: a rectangle has an area of 24 square units. the width is 5 units less than the length. what is the lenght in units of the rectangle?

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 Question 253329: a rectangle has an area of 24 square units. the width is 5 units less than the length. what is the lenght in units of the rectangle?Found 3 solutions by hokies, palanisamy, Alan3354:Answer by hokies(65)   (Show Source): You can put this solution on YOUR website!L * W = 24 W = L - 5 Solve this system of equations (plug the 2nd equation into the 1st equation): L=8, W=3 Answer by palanisamy(496)   (Show Source): You can put this solution on YOUR website!Let the length of the rectangle be x Given, the width is 5 units less than the length. So the breadth of the rectangle = x-5 Area of the rectangle is x(x-5) = 24 x^2-5x-24 = 0 (x-8)(x+3) = 0 x-8 = 0 or x+3 = 0 x = 8 or x = -3 x cannot be negative So we get x = 8 Therefore the length of the rectangle = 8 miles and the breadth of the rectangle = x-5 = 8-5 = 3 miles Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!a rectangle has an area of 24 square units. the width is 5 units less than the length. what is the lenght in units of the rectangle? ------------------- L = 8 W = 3