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A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?

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Question: A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?

Options:

  1. 120 cm²
  2. 140 cm²
  3. 160 cm²
  4. 180 cm²

Correct Answer: 120 cm²

Solution: 

Area = (d1 × d2)/2 = (10 cm × 24 cm)/2 = 120 cm².

A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?

Practice Questions

Q1
A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
  1. 120 cm²
  2. 140 cm²
  3. 160 cm²
  4. 180 cm²

Questions & Step-by-Step Solutions

A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
Correct Answer: 120 cm²
  • Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 10 cm and d2 = 24 cm.
  • Step 2: Use the formula for the area of a rhombus, which is Area = (d1 × d2) / 2.
  • Step 3: Substitute the values of the diagonals into the formula: Area = (10 cm × 24 cm) / 2.
  • Step 4: Calculate the product of the diagonals: 10 cm × 24 cm = 240 cm².
  • Step 5: Divide the result by 2 to find the area: 240 cm² / 2 = 120 cm².
  • Step 6: Conclude that the area of the rhombus is 120 cm².
  • Area of a Rhombus – The area of a rhombus can be calculated using the formula Area = (d1 × d2)/2, where d1 and d2 are the lengths of the diagonals.
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