Question

The area of a rhombus is 96 cm2. If one of its diagonals is 16 cm, then the length of its sides is. (A) 12 cm (B) 10 cm (C) 8 cm (D) 6 cm

Answer 1

6 cm because altitude equals to area by height

Answer 2

Let us consider d1 = 16

Area of a Rhombus = 1/2 * d1 * d2 = 96

0.5 * 16 * d2 = 96

d2 = 96 / 8 = 12

Perimeter of a Rhombus when d1 and d2 are given

p = √ ( d1² + d2² )

= √ ( 16² + 12² )

= √ ( 256 + 144 )

p = √ 400

p = 200cm