PQRS is a square with side 20 cm. A, B, C, D are mid points of PQ, QR, RS and SP respectively. Then perimeter of square ABCD is?
Answer & explanation
Correct answer: option 2
AB side of square ABCD is hypotheneus of triangle AQB's
⇒ AB = \(\sqrt {2}\) × AQ
= 10\(\sqrt {2}\) [PQ = 20, so AQ = 10 cm]
Perimeter of square ABCD = 4 × side = 40\(\sqrt {2}\)