Question

The length of diagonals of rhombus are 24 cm and 32 cm. The perimeter of the rhombus is

Answer 1

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Answer 2

Dear Student,

◆ Answer -

Perimeter of rhombus = 80 cm

● Explanation -

# Given -

d1 = 24 cm

d2 = 32 cm

# Solution -

We know that diagonals of triangle intersect each other perpendicularly. So half of each diagonal forms a right angled triangle with side of rhombus as hypotenuse.

x^2 = (d1/2)^2 + (d2/2)^2

x^2 = (24/2)^2 + (32/2)^2

x^2 = 12^2 + 16^2

x^2 = 144 + 256

x^2 = 400

x = 20 cm

So perimeter of rhombus is -

Perimeter of rhombus = 4x

Perimeter of rhombus = 4 × 20

Perimeter of rhombus = 80 cm

Hence, perimeter of the rhombus is 80 cm.

Thanks dear. Hope this helps you...