The diagonal of a square is 60 cm. Calculate its perimeter
MATHEMATICS
WAEC 2017
The diagonal of a square is 60 cm. Calculate its perimeter
- A. 20\(\sqrt{2}\)
- B. 40\(\sqrt{2}\)
- C. 90\(\sqrt{2}\)
- ?D. ?120\(\sqrt{2}\)
Correct Answer: ?D. ?120\(\sqrt{2}\)
Explanation
\(60^2 + x^2 + x^2\)
\(360^2 = 2x^2\)
\(x^2\) = 1800
x = \(\sqrt{1800}\)
x = 42.4264
x = 42.4264
perimeter = 4x
= 4 x 42.4264
= 169.7056
= 120\(\sqrt{2}\)
= 120\(\sqrt{2}\)
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