A contractor is installing windows in a new home and needs to meet Michigan Energy Code requirements. For a 2,000 square foot house with 300 square feet of window area, what is the window-to-floor area ratio?
Correct Answer
A) 15%
Window-to-floor area ratio = (300 sq ft ÷ 2,000 sq ft) × 100 = 15%. This ratio is important for energy code compliance calculations.
Why This Is the Correct Answer
The window-to-floor area ratio is calculated by dividing the window area by the floor area and multiplying by 100 to get a percentage. In this case: 300 square feet (window area) ÷ 2,000 square feet (floor area) × 100 = 15%. This ratio is a critical metric for Michigan Energy Code compliance, as it affects building energy performance calculations and determines requirements for window efficiency ratings.
Why the Other Options Are Wrong
Option B: 12%
12% would result from an incorrect calculation, possibly dividing 240 by 2,000 instead of 300 by 2,000. This represents a mathematical error in either the window area measurement or the division process. The actual window area given is 300 square feet, not 240 square feet.
Option C: 20%
20% would result from dividing 400 by 2,000, indicating an error in reading the window area as 400 square feet instead of the given 300 square feet. This could also result from incorrectly adding extra window area or misreading the problem parameters.
Option D: 18%
18% would result from dividing 360 by 2,000, suggesting the window area was incorrectly calculated as 360 square feet instead of the stated 300 square feet. This represents a 20% overestimation of the actual window area provided in the problem.
Memory Technique
Remember 'Windows over Walls' - Window area goes on top (numerator), floor area goes on bottom (denominator), then multiply by 100. Think: W/F × 100 = Window-to-Floor percentage.
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