Carpenter Red Seal Exam Prep · Question
When laying out a building foundation, the diagonal measurements must be equal to confirm squareness. If a rectangular foundation is 12.0 m long and 7.0 m wide, what should the diagonal measurement be, to the nearest millimetre?
Using the Pythagorean theorem (a² + b² = c²), where 'a' is the width and 'b' is the length: 7.0² + 12.0² = c². So, 49 + 144 = 193. The diagonal 'c' is the squar
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Question: When laying out a building foundation, the diagonal measurements must be equal to confirm squareness. If a rectangular foundation is 12.0 m long and 7.0 m wide, what should the diagonal measurement be, to the nearest millimetre?
Answer options: ✅ 13.892 m
- 13.000 m
- 14.500 m
- 15.200 m
Correct answer: 13.892 m
Explanation: Using the Pythagorean theorem (a² + b² = c²), where 'a' is the width and 'b' is the length: 7.0² + 12.0² = c². So, 49 + 144 = 193. The diagonal 'c' is the square root of 193, which is approximately 13.89244 m, or 13.892 m to the nearest millimetre.
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