Andrew Baker wants to construct a small addition to his existing house. Local zoning bylaws permit such an addition provided it does not exceed 18% of the existing main level floor area. Baker's house currently has 960 square feet on the main level.

Which of the following measurements for this addition would comply with the municipal requirements?

A. 4.25 metres x 4.15 metres
B. 4.20 metres x 4.05 metres
C. 3.89 metres x 4.28 metres
D. 4.07 metres x 3.94 metres

The largest permissible expansion for Andrew's house is roughly 16.05 square meters. Upon calculating the area of each proposal, only the dimensions in option d result in an area within this limit.

Explanation:

The question asks for the dimensions of a building expansion that would meet local zoning regulations which restrict additions to 18% of the existing floor area. Given that Andrew's existing house has 960 sq ft, the maximum permissible expansion would be 18% of 960 sq ft, or 172.8 sq ft.

To solve this problem, it's important to convert the measurement from square feet to square meters, as the proposed dimensions are given in meters. 1 square foot is approximately 0.092903 square meters. Therefore, 172.8 square feet equals roughly 16.05 square meters.

Now we can calculate the area of each proposal by multiplying the given dimensions. The areas in square meters are: a. 17.64. b. 17.01. c. 16.65. d. 16.01.

In conclusion, based on these calculations, Andrew should choose option d, as its area (16.01 m²) falls within the permissible expansion area of 16.05 m².

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