The length of the top of a work bench is 5 m greater than the width. The area is 66 m^2. Find the length and the width.

3 answers

Whats your answer then we will check it.
L = the length

W = the width

A = the area

L = W + 5

A = L ∙ W

66 = ( W + 5 ) ∙ W

66 = W² + 5 W

Subtract 66 to both sides

66 - 66 = W² + 5 W - 66

0 = W² + 5 W - 66

W² + 5 W - 66 = 0

The solutions are:

W = - 11 and W = 6

The width can't be negative, so W = 6 m

L = W + 5

L = 6 + 5

L = 11 m

A = L ∙ W

A = 11 ∙ 6

A = 66 m²
Thank you so much Bosnian!!