Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which statements about the length of each plot are true?*The equation x3 − 15x2 − 100x − 2,688 = 0 can be used to find the length of each plot.**The equation x3 + 25x2 + 100x − 2,688 = 0 can be used to find the length of each plot.***The equation x3 + 15x2 − 100x – 2,688 = 0 can be used to find the length of each plot.****The length of each plot is 12 yards.*****The length of each plot is 8 yards.

We have to:
 "All of the plots are the same length, x"
 L = x
 "and the width of each plot is 5 yards less than the length"
 W = x-5
 "The total number of plots Liam owns is 20 more than the length of a plot"
 20 + x
 "the total area of all the plots Liam owns is 2,688 square yards"
 A = (20 + x) * (x) * (x-5)
 A = (20x - 100 + x ^ 2 -5x) * (x)
 A = (x ^ 2 + 15x - 100) * (x)
 2688 = (x ^ 3 + 15x ^ 2 - 100x)
 x ^ 3 + 15x ^ 2 - 100x = 2688
 x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
 Answer: 
 *** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.