Given that diagonals of a rhombus are 72 cm and 30 cm respectively. What is its perimeter?

M4maths Previous Puzzles

11 Jul 2019 Perimeter

Given that diagonals of a rhombus are 72 cm and 30 cm respectively. What is its perimeter?

OPtion

1) 39
2) 37
3) 41
4) 40
5) 43
6) 152
7) 154
8) 156
9) 158
10) None of these

Solution

Let the diagonals be PR and SQ
Let PR = 72 cm,
SQ = 30 cm

PO = OR = 72/2 = 36 cm

SO = OQ = 30/2 = 15 cm

PQ = QR = RS = SP
= √(36^2 + 15^2)
=√(1296 + 225)
=√1521
=39 cm


perimeter = 4 × 39 = 156 cm

Correct Option: 8 Best Solution (3)