Answer:
width = 6
length = 8
Step-by-step explanation:
L = W + 2 : consecutive integers and length is larger than width
L * (W - 3) = 24 : area when width is decreased by 3 = 24
(W + 2) * (W - 3) = 24 : substitute W+2 for L in second equation
W^2 - W - 6 = 24 : multiplied
W^2 - W - 30 = 0 : subtracted 24 from both sides of equatin
(W - 6) * (W + 5) = 0 : factored. could use quadratic equation
W = 6 OR W = -5
W must be 6 as width must be positive
L is 8 as it is 2 more than W
