Question

If the area and length of one of the diagonals of a Rhombus are 24 cm? and 8 cm, respectively, then what will be the perimeter (in cm)?
a. 28
b. 10
C. 20
d. 14​

Answer 1

Answer:

The correct answer is option C

The Perimeter of Rhombus is 20cm.

Step-by-step Explanations :

Given : Area of Rhombus = 24cm²

Diagonal (D1) = 8cm

To find : Perimeter of Rhombus = ?

We know that,

Area of Rhombus = 1/2 × D1 × D2

Substituting the given value in above formula we get,

24 = 1/2 × 8 × D2

24 = 4 × D2

∴ D2 = 24/4

= 6cm

Also,

Perimeter of Rhombus = 2 × √(D1 )²+ (D2)²

Substituting the value in above formula we get,

Perimeter of Rhombus = 2 × √ 8² + 6²

= 2 × √ 64 + 36

= 2 × √100

= 2 × 10

= 20cm

Hence the Perimeter of Rhombus is 20cm.