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Question : The lengths of the diagonals of a rhombus are 48 cm and 20 cm. What is the perimeter of the rhombus?

Option 1: 200 cm

Option 2: 120 cm

Option 3: 100 cm

Option 4: 104 cm


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 104 cm


Solution : Diagonals of a rhombus bisect each other perpendicularly.
Let’s denote the length of each side of the rhombus as a
Using Pythagoras:
a 2 = $(\frac{48}{2})^{2}$ +  $(\frac{20}{2})^{2}$  =  576 + 100 =  $\sqrt{676}$
⇒ a = 26
So, the length of each side is 26
⇒ Perimeter = 4a = 4 × 26 = 104 cm
Hence, the correct answer is 104 cm.

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