SSC CGL 2018 PYQ — Question 66

SSC CGL Tier II Quant - 21/02/2018 • Quantitative Aptitude • Q66

PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 80√2 + 80

SQ = PR = 20√2 cm

PO = OR = QO = OS = 10√2 cm

Hence,

Sum of the perimeter of four triangles = 4[20 + 20√2] = (80√2 + 80) cm