Answer:
option B
Step-by-step explanation:
i attach the full question in the image below.
The area of the rectangle is defined as
Area = width*length
width_plot = (7x -6) ft
length_plot = (12x + 5) ft
Area_plot = (7x -6)* (12x + 5) ft^2
Area_plot = [ (7x)* (12x + 5) +(-6)*(12x + 5) ] ft^2
Area_plot = [ 84x^2 + 35x - 72x - 30 ] ft^2
Area_plot = [ 84x^2 - 37x - 30 ] ft^2
The area of the fenced off vegetable patch is
Area_patch = (5x -4)* (3x) ft^2
Area_patch = (15x^2 -12x) ft^2
The area of the shaded region is equal to
A_shaded = Area_plot - Area_patch
= [ 84x^2 - 37x - 30 ] ft^2 - (15x^2 -12x) ft^2
= [69 x^2 -25x - 30] ft^2
Answer is option B
