A rectangular parcel of land measures 400 feet by 600 feet. If divided into two equal lots by a creek, what is the approximate acreage of each parcel?

A rectangular parcel of land measures 400 feet by 600 feet. If divided into two equal lots by a creek, what is the approximate acreage of each parcel?

• A. 55 acres
• B. 2.75 acres
• C. 3.47 acres
• D. 5.51 acres

Answer: (B)

To determine the approximate acreage of each parcel after dividing the rectangular land by a creek, first, calculate the total area of the land. The area of a rectangle is found by multiplying the length by the width. Here, the dimensions are 400 feet and 600 feet. Calculating the area: \[ Area = Length \times Width = 400 \text{ feet} \times 600 \text{ feet} = 240,000 \text{ square feet} \] Next, since the land is divided into two equal parcels, we divide the total area by two: \[ Area \text{ of each parcel} = \frac{240,000 \text{ square feet}}{2} = 120,000 \text{ square feet} \] To convert square feet to acres, use the conversion factor where 1 acre equals 43,560 square feet: \[ \text{Acreage} = \frac{120,000 \text{ square feet}}{43,560 \text{ square feet per acre}} \approx 2.75 \text{ acres} \] Thus, the approximate acreage of each parcel is 2.75 acres, making it the correct answer

To determine the approximate acreage of each parcel after dividing the rectangular land by a creek, first, calculate the total area of the land. The area of a rectangle is found by multiplying the length by the width. Here, the dimensions are 400 feet and 600 feet.

Calculating the area:

[

Area = Length \times Width = 400 \text{ feet} \times 600 \text{ feet} = 240,000 \text{ square feet}

]

Next, since the land is divided into two equal parcels, we divide the total area by two:

[

Area \text{ of each parcel} = \frac{240,000 \text{ square feet}}{2} = 120,000 \text{ square feet}

]

To convert square feet to acres, use the conversion factor where 1 acre equals 43,560 square feet:

[

\text{Acreage} = \frac{120,000 \text{ square feet}}{43,560 \text{ square feet per acre}} \approx 2.75 \text{ acres}

]

Thus, the approximate acreage of each parcel is 2.75 acres, making it the correct answer