Find the area of the rhombus, the lengths of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus.

Question

Philoid · Accepted Answer

Given:

Length of diagonal 1 (d₁) = 30 cm

Length of diagonal 2 (d₂) = 16 cm

Area of rhombus = 1/2 × d₁ × d₂

= 1/2 × 30 cm × 16 cm

= 240 cm²

Now,

Side of rhombus = 1/2 × √( d₁² + d₂²)

= 1/2 × √( 30² + 16²)

= 1/2 × √(900 + 256)

= 1/2 × √1156

= 1/2 × 34

= 17 cm

Therefore,

Perimeter of rhombus = 4 × Side of rhombus

= 4 × 17 cm

= 68 cm