Answer:
the length of the wall is 20m.
Step-by-step explanation:
length of wall = 17m more than it's width = n + 17
let width be n and length be n + 17
A = lw
A = (n + 17)(n)
A = n² + 17n
60 = n² + 17n
n² + 17n - 60 = 0
(n + 20)(n - 3) = 0
n² - 3n + 20n - 60 = 0
n² + 17n - 60 = 0
n + 20 = 0
n = -20 (it's not needed since there's no negative unit)
n - 3 = 0
n = 3
therefore, the width is 3.
substitute n in the formula.
width = n
width = 3
length = n + 17
length = 3 + 17
length = 20
A = lw
60m² = (20m)(3m)
60m² = 60m²
