Hi,
Let x represent the length
x(x-24) = 1456
x^2 - 24x - 1456 = 0
(Tossing out the negative solution for unit measure)
x = 52t, the length. The width is 28ft
dimensions of the lot: 52ft by 28ft
CHECKING our answer***
52ft*28ft = 1456ft^2
Wish You the Best in your Studies.