A building project in Hawaii requires soil treatment for termite protection. The treatment area is 45 ft × 30 ft with application rate of 4 gallons per 10 linear feet. How many gallons of termiticide are needed for the perimeter treatment?
Correct Answer
B) 60 gallons
Perimeter = 2(45 + 30) = 150 linear feet. Treatment needed: 150 ÷ 10 × 4 = 60 gallons.
Why This Is the Correct Answer
Step 1: Calculate the perimeter. Perimeter = 2 × (45 + 30) = 2 × 75 = 150 linear feet. Step 2: Apply the rate. 150 linear feet ÷ 10 × 4 gallons = 15 × 4 = 60 gallons. Perimeter (not area) is used because the treatment is applied along the foundation edge, not across the entire slab surface.
Why the Other Options Are Wrong
Option A: 54 gallons
54 gallons likely results from an arithmetic error in the perimeter calculation, such as computing 2 × (45 + 30) incorrectly as 135 linear feet (135 ÷ 10 × 4 = 54). Alternatively, a candidate might use only three sides of the building rather than all four.
Option C: 48 gallons
48 gallons results from using 120 linear feet instead of 150 — a common error where the candidate computes only two sides (45 + 30 = 75, then applies the formula without doubling: 75 ÷ 10 × ... or uses 2 × 30 + 2 × 30 = 120).
Option D: 72 gallons
72 gallons results from using 180 linear feet, which could come from rounding up or using an incorrect dimension. For example, 2 × (45 + 45) = 180 if both long sides are mistakenly used as 45 ft, or from adding extra feet for corners.
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