Answer: (2x + 32)(2x + 25) = 1600
Explanation:
The former length of the rectangular plot = 32 feets
The former width of the rectangular plot =25 feets
The former area of the rectangular plot is former length of the rectangular plot × former width of the rectangular plot
= 32×25 = 800 feet^2
If the area is doubled, the new area would 800 × 2 = 1600 feet^2
If an equal width of x feets was added to each side of the plot,
The new length would be (32 + 2x) feets.
The new width would be (25 + 2x) feets. The 2x is due to the fact that there are 2 lengths and 2 widths
The new area would be
(2x + 32)(2x + 25) = 1600