The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter
A
42cm
B
48cm
C
52cm
D
60cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Let the length of a side of the rhombus be n
Then, n\(^2\) = 5\(^2\) + 12\(^2\)
= 25 + 144 = 169
n = \(\sqrt{169}\)
= 13cm
Hence, perimeter of rhombus = 4n = 4 x 13
= 52cm
Source: Myschool Past Questions Archive (Record #49623)