Question
Shingles are laid so that 3 in. or \( \frac{3}{12} \mathrm{ft} \) are exposed in each layer. How many feet of roof will be covered by 25 courses?
Ask by Frank Henry. in the United States
Jan 09,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Each course covers 0.25 feet, so 25 courses cover 6.25 feet of roof.
Solution
Each course of shingles exposes \( \frac{3}{12} \) feet (which is 0.25 feet) of the roof. To find the total coverage for 25 courses, you multiply the exposure per course by the number of courses:
\[
\text{Total Coverage} = 25 \times 0.25 \text{ feet} = 6.25 \text{ feet}
\]
**Answer:** 6.25 feet of roof are covered by 25 courses.
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Beyond the Answer
When shingles are laid with 3 inches exposed in each layer, that translates to \( \frac{3}{12} \text{ ft} = \frac{1}{4} \text{ ft} \) being visible per course. To find out how many feet of the roof will be covered by 25 courses, we multiply the number of courses by the amount of roof covered by each course. \[ \text{Total coverage} = \text{Number of courses} \times \text{Feet covered per course} = 25 \times \frac{1}{4} = \frac{25}{4} = 6.25 \text{ ft} \] Thus, 6.25 feet of the roof will be covered by 25 courses of shingles.