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.