Question

PQRS is a rhombus. the diagonals are 8cm and 6cm respectively. find its perimeter

Answer 1

Here is the answer

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Answer 2

Solution :-

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.

Answer.