A 100-acre tract is divided into 140 residential lots. The streets take up 1/8 of the total tract. How many square feet are in each lot?

A 100-acre tract is divided into 140 residential lots. The streets take up 1/8 of the total tract. How many square feet are in each lot?

• A. 27,225
• B. 24,000
• C. 19,800
• D. 30,000

Answer: (A)

The problem tests converting acreage to square feet after accounting for land used by streets, then dividing the remaining area among the lots. First, streets take 1/8 of the tract, leaving 7/8 for lots. So usable land = 100 acres × 7/8 = 87.5 acres. With 140 lots, each lot is 87.5 acres ÷ 140 = 0.625 acres. Convert to square feet using 1 acre = 43,560 sq ft: 0.625 × 43,560 = 27,225 square feet per lot. Therefore, each lot is 27,225 square feet.

The problem tests converting acreage to square feet after accounting for land used by streets, then dividing the remaining area among the lots. First, streets take 1/8 of the tract, leaving 7/8 for lots. So usable land = 100 acres × 7/8 = 87.5 acres. With 140 lots, each lot is 87.5 acres ÷ 140 = 0.625 acres. Convert to square feet using 1 acre = 43,560 sq ft: 0.625 × 43,560 = 27,225 square feet per lot. Therefore, each lot is 27,225 square feet.