Question

PQRS is a rhombus.OP is 6cm,OQ is 8 cm . Find the perimeter of PQRS​

Answer 1

Answer:

Given - PQRS is a rhombus and we know that all four sides of a rhombus are of equal length.  

And, In Δ POQ  

PQ is hypotenuse, OP is base and OQ is perpendicular.

Using Pythagoras Theorem -

⇒ (PQ)² = (OP)² + (OQ)²

⇒ (PQ)² = (3)² + (4)²

⇒ (PQ)² = 9 + 16

⇒ (PQ)² = 25

⇒ PQ = √25

⇒ PQ = 5 cm

So, length of each side of the given rhombus is 5 cm.

Perimeter of rhombus = 4 × side  

⇒ 4 × 5

= 20 cm

So, perimeter of the rhombus PQRS is 20 cm.

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