Answer
Area of rectangle =$(5{x^2} - 3x - 2)$${miles^2}$
Work Step by Step
Area of rectangle = (length) (width)
Given:
Length = (5x + 2) miles
Width = (x - 1) miles
Hence area = (5x + 2)(x - 1) ${miles^2}$
= [5x(x) + 5x(-1) + 2(x) + 2(-1)]${miles^2}$
=$(5{x^2} - 5x + 2x - 2$)${miles^2}$
=$(5{x^2} - 3x - 2)$${miles^2}$