Answer:
Area of Rectangle = 
Step-by-step explanation:
Rectangle two vertices lie on x axis ; two vertices lie on parabola
.
Supposing coordinates of upper right vertex of rectangle are P = 
Due to parabola symmetry, width of rectangle is twice the distance horizontal (X) axis distance between Y axis & point P.
Width of rectangle = 
Length of rectangle =
; 
Area of Rectangle = Length x Width
= 
= 
= 
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
The second picture should be the correct graph or the one which has its blue on the bottom side.