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PQRS is a square with side 10 cm. A, B, C and D are mid–points of PQ, QR, RS and SP respectively. Then the perimeter of the square ABCD so formed is
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- 10√2 cm
- 20√2 cm
- 25√2 cm
- 15√2 cm
- 10√2 cm
Correct Option: B
PA = AQ = QB = 5 cm.
∴ ∠AQB = 90°
∴ AB = √AQ² + QB²
= √5² + 5² = √25 + 25
= √50 = 5√2 cm.
∴ Perimeter of ABCD = 4 × 5√2 = 20√2 cm.
