Question
A rectangular swimming pool is 21 meters wide and 50 meters long. Calculate the length of the diagonal to 1 decimal place.
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Answer to a math question A rectangular swimming pool is 21 meters wide and 50 meters long. Calculate the length of the diagonal to 1 decimal place.
Adonis
4.4104 Answers
1. Use the Pythagorean theorem to find the diagonal of the pool:
c = \sqrt{a^2 + b^2}
2. Substitute the given values \(a = 21\) and \(b = 50\):
c = \sqrt{21^2 + 50^2}
3. Calculate \( 21^2 \) and \( 50^2 \):
21^2 = 441
50^2 = 2500
4. Add these values:
441 + 2500 = 2941
5. Take the square root of 2941:
\sqrt{2941} \approx 54.2
Therefore, the length of the diagonal is 54.2
2. Substitute the given values \(a = 21\) and \(b = 50\):
3. Calculate \( 21^2 \) and \( 50^2 \):
4. Add these values:
5. Take the square root of 2941:
Therefore, the length of the diagonal is
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