High School

The City of Durham requires that a lot must have a minimum of 1,200 square metres to obtain a building permit. Seller Smith has a lot measuring 92.5 feet by 145.20 feet. The maximum coverage permitted (square feet/metres on the main floor) is 12% of the entire lot size.

Select the correct response for the following questions:

1. Does Smith's lot meet minimum standards?

2. If the lot does meet standards, what would be the maximum square metres allowed on the main level area of Smith's home (rounded to the nearest square metre)?

A. Yes, the lot meets minimum standards and the maximum main living area permitted is 144 square metres.

B. Yes, the lot meets minimum standards and the maximum main living area permitted is 150 square metres.

C. No, the lot does not meet minimum standards and therefore a maximum main living area does not apply.

D. Yes, the lot meets minimum standards and the maximum main living area permitted is 162 square metres.

Answer :

Final answer:

Smith's lot meets the minimum standards with an area of 1245 square meters. The maximum square meters allowed on the main level area of Smith's home is 149 square meters.

Explanation:

To determine whether Smith's lot meets the minimum standards, we need to calculate the area of the lot in square meters. First, we convert the measurements from feet to meters. Since 1 meter is approximately 3.28 feet, the lot measures approximately 28.16 meters by 44.23 meters. Multiplying these values gives us an area of approximately 1245 square meters, which is greater than the required minimum of 1200 square meters. Therefore, Smith's lot meets the minimum standards.

To calculate the maximum square meters allowed on the main level area of Smith's home, we multiply the area of the lot by the maximum coverage percentage. The maximum coverage allowed is 12%, so we multiply 1245 square meters by 0.12 to get 149.4 square meters. Rounded to the nearest square meter, the maximum square meters allowed is 149 square meters.