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The diagonal of a rhombus is 25% less than the other diagonal. The area of the rhombus is 24 cm2. What is the length of the side of the rhombus?

The diagonal of a rhombus is 25% less than the other diagonal. The area of the rhombus is 24 cm2. What is the length of the side of the rhombus? Correct Answer 5

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As we know,

⇒ Area of the diagonal = 1/2 × d1 × d2

⇒ Length of the diagonal = 4x

∴ Length of the diagonal = 4x × 3/4 = 3x

According to the question

⇒ 1/2 × 4x × 3x = 24

⇒ x = 2

Length of the diagonal of the rhombus = 4x = 4 × 2 = 8

⇒ Length of the other diagonal of the rhombus = 3x = 3 × 2 = 6

As we know,

⇒ a2 = 42 + 32 = 25

⇒ a = 5

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