Answer:
x = 6
Step-by-step explanation:
Area of a rectangle = length * width
24 = (x+2) (2x-9)
24 = 2x^2-5x-18
0 = 2x^2-5x-42
0 = (2x+7) (x-6)
0 = (2x+7) or 0 = (x-6)
-7 = 2x or 6 = x
-7/2 = x
Because (-7/2)+2 = -3/2 and a side can not be equal to a negative measurement, x cannot be equal to -7/2.
24 = ((6)+2) (2(6)-9)
24 =24
so x = 6
