A residential foundation in Hawaii requires a moisture barrier. The foundation wall is 150 linear feet with an average height of 4 feet. If the moisture barrier material costs $2.25 per square foot, what is the total material cost?
Correct Answer
C) $1,350
Area = 150 ft × 4 ft = 600 sq ft. Total cost = 600 × $2.25 = $1,350.
Why This Is the Correct Answer
Option C ($1,350) is correct. Area = length × height = 150 ft × 4 ft = 600 sq ft. Total cost = 600 sq ft × $2.25/sq ft = $1,350. This is a straightforward area-times-unit-cost calculation with no trick elements.
Why the Other Options Are Wrong
Option A: $1,620
$1,620 results from using a different area calculation, likely 150 × 4.8 = 720 sq ft, or from applying an incorrect rate. It may also arise from mistakenly adding a waste factor (e.g., 20%) to the correct answer of $1,350, yielding $1,620.
Option B: $1,200
$1,200 results from using 150 ft × 4 ft = 600 sq ft but then applying a rate of $2.00/sq ft instead of $2.25/sq ft. This is a rate-rounding error.
Option D: $1,485
$1,485 results from applying a 10% waste/overage factor to the correct answer ($1,350 × 1.10 = $1,485). This is a distractor for candidates who habitually add material waste factors even when the problem does not ask for it.
Memory Technique
Foundation wall area = perimeter length × wall height. Then multiply by the cost per square foot. Three steps: (1) 150 × 4 = 600 sq ft, (2) 600 × $2.25, (3) = $1,350. No waste factor unless asked.
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