The length of a table top is 7 m greater than the width The

The length of a table top is 7 m greater than the width. The area is 78m^2. Find the dimensions

Solution

Let width be x m.

So, length = 7 + x

x * (7 + x) = 78

or, 7x + x² = 78

or, x² + 7x - 78 = 0

or, x² + 13x - 6x + 13 * (-6) = 0

or, x * (x + 13) - 6 * (x + 13) = 0

or, (x + 13) (x - 6) = 0

or, x = -13, 6

So, the width = 6 m

length = 13 m