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20% of a lot, measuring 560' X 2009', is covered by improvements. How many square feet are not covered by the improvements?

A. 225,008
B. 900,032
C. 112,468
D. 20,552

User Gkrogers
by
7.9k points

1 Answer

4 votes

Final answer:

To determine the uncovered area, multiply the lot dimensions to get the total area, calculate 20% of the total area, and subtract this from the total. The uncovered area of the lot is 900,032 square feet, corresponding to option B.

Step-by-step explanation:

You wish to know how many square feet of a lot are not covered by improvements if 20% is covered. First, find the total area of the lot by multiplying its length and width. The lot measures 560 feet by 2009 feet, so:

Total Area = 560' x 2009' = 1,125,040 square feet.

Since 20% of the lot is covered by improvements, you calculate the area covered by improvements:

Covered Area = 20% of Total Area = 0.20 x 1,125,040 sq ft = 225,008 square feet.

Finally, subtract the Covered Area from the Total Area to find the area not covered:

Uncovered Area = Total Area - Covered Area = 1,125,040 sq ft - 225,008 sq ft = 900,032 square feet.

Therefore, the area not covered by improvements is 900,032 square feet, which corresponds to option B.

User Blahblah
by
8.3k points
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