Answer:
length: 6 inches
width: 7 inches
Step-by-step explanation:
Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:
42 = (n+2)(2n -1) = 2n^2 +3n -2
2n^2 +3n -44 = 0 . . . . subtract 42
(n -4)(2n +11) = 0 . . . . . factor
n = 4 . . . . . . . . we aren't interested in the negative solution
Length = 4+2 = 6 . . . inches
Width = 2·4 -1 = 7 . . . inches
