The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. Which equation can be used to find this added width?

(x + 32) (x + 25) = 1600

(2x + 32) (2x + 25) = 1600

(2x + 32) (x + 25) = 800

(x + 32) (x + 25) = 800

Question

Mathematics

Aliyah Hood

12 October, 00:59

The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. Which equation can be used to find this added width?

(x + 32) (x + 25) = 1600

(2x + 32) (2x + 25) = 1600

(2x + 32) (x + 25) = 800

(x + 32) (x + 25) = 800

+1

Answers (1)

Know the Answer?

Barton · Answer 1

Answer: (2x + 32) (2x + 25) = 1600

Step-by-step 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

The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. Which equation can be used to find this added width?(x + 32) (x + 25) = 1600(2x + 32) (2x + 25) = 1600(2x + 32) (x + 25) = 800(x + 32) (x + 25) = 800

The area of a rectangular plot 32 feet long and 25 feet wide will be doubled by adding an equal width to each side of the plot. Which equation can be used to find this added width?

(x + 32) (x + 25) = 1600

(2x + 32) (2x + 25) = 1600

(2x + 32) (x + 25) = 800

(x + 32) (x + 25) = 800