How many acres are in a tract of land that measures 200 feet wide and 4000 feet deep?

To determine the number of acres in a tract of land measuring 200 feet wide and 4000 feet deep, one must first calculate the total area in square feet and then convert that area into acres.

The formula for calculating the area of a rectangle is length multiplied by width. Here, the length is the depth of the land, which is 4000 feet, and the width is 200 feet.

Calculating the area:

[

\text{Area} = \text{Width} \times \text{Depth} = 200 , \text{feet} \times 4000 , \text{feet} = 800,000 , \text{square feet}

]

Next, to convert square feet to acres, it is important to know that 1 acre is equivalent to 43,560 square feet. Consequently, the area in acres can be calculated by dividing the total area in square feet by the number of square feet in one acre:

[

\text{Area in acres} = \frac{800,000 , \text{square feet}}{43,560 , \text{square feet per acre}} \approx 18.365 , \text{