The diagonal of a square is 60 cm. Calculate its peremeter
-
A.
20(sqrt{2}) -
B.
40(sqrt{2}) -
C.
90(sqrt{2}) -
D.
120(sqrt{2})
Correct Answer: Option D
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})