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A land developer purchased 0.200 square miles of land. The land was subdivided into 256 building lots of approximately the same area. What is the average number of square feet per building lot?

(1 square mile = 640 acres; 1 acre = 43,560 square feet)

A. 6,969 square feet
B. 7,680 square feet
C. 8,294 square feet
D. 9,100 square feet

Answer :

Final answer:

The average number of square feet per building lot is 21,690 square feet.

Explanation:

To find the average number of square feet per building lot, we need to first find the total area of the land in square feet and then divide it by the number of building lots.

Given that 1 square mile = 640 acres and 1 acre = 43,560 square feet, we can convert 0.200 square miles to square feet:

0.200 square miles * 640 acres * 43,560 square feet = 5,547,840 square feet.

Next, we divide this total area by the number of building lots, which is 256:

5,547,840 square feet / 256 = 21,690 square feet.

Therefore, the average number of square feet per building lot is 21,690 square feet.

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