Problema Solution

The length of the top of a workbench is 3

m greater than the width. The area is 70

msquared

.

Find the length and the width.

Answer provided by our tutors

Let 'w' represent the width then the length is 'w + 3' (3 m greater then the width).

The area equals the product of the width and the length:

w*(w + 3) = 70

........

click here to see the quadratic equation solved for w

........

w = 7 m

We need to ignore the negative solution -10 since the length and the width are always positive.

w + 3 = 7 + 3 = 10 m

Indeed, the area is 7*10 = 70 m^2

The length is 10 m and the width is 7 m.