Answer:
length = 240 units
Width = 140 units
Step-by-step explanation:
Width = w
Length = 2w - 40 ft
Area = 33,600 square feet
length * width = 33600
(2w - 40) *w = 33600
2w² - 40w = 33600
2w² - 40w - 33600 = 0
Divide the equation by 2
w² - 20w - 16800 = 0
Sum = -20
Product = -16800
Factors = -140 , 120
w² -140w + 120w - 140 * 120 = 0
w(w - 140) + 120(w - 140) = 0
(w - 140)(w + 120) = 0
w +120 = 0 is ignored because width won't be in negative.
w - 140 = 0
w = 140 units
length = 2*140 - 40
= 280 - 40
= 240 units
