The area of a rectangular wall of a barn is 42 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall of the barn.

The answer to your question is: length = 14 ft; width = 3 ft

Step-by-step explanation:

Data

Area = 42 ft²

length = 8 + 2w

w = width = ?

length = ?

Formula

Area = length x width = l x w

Substitution

42 = (2w + 8) w

42 = 2w² + 8w

2w² + 8w - 42 = 0

Dividing by 2

w² + 4w - 21 = 0 Factorize

(w + 7) (w - 3) = 0

w1 = - 7 w2 = 3

It's not possible to have negative widths

So the answer is w = 3 ft

length = 2 (3) + 8

length = 6 + 8

length = 14 ft