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If a rhombus has diagonals of lengths 10 and 24, what is its area?

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Question: If a rhombus has diagonals of lengths 10 and 24, what is its area?

Options:

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

Correct Answer: 120

Solution:

Area = (d1 * d2) / 2 = (10 * 24) / 2 = 120.

If a rhombus has diagonals of lengths 10 and 24, what is its area?

Practice Questions

Q1
If a rhombus has diagonals of lengths 10 and 24, what is its area?
  1. 120
  2. 140
  3. 160
  4. 180

Questions & Step-by-Step Solutions

If a rhombus has diagonals of lengths 10 and 24, what is its area?
  • Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 10 and d2 = 24.
  • Step 2: Use the formula for the area of a rhombus, which is Area = (d1 * d2) / 2.
  • Step 3: Substitute the values of d1 and d2 into the formula: Area = (10 * 24) / 2.
  • Step 4: Calculate the product of the diagonals: 10 * 24 = 240.
  • Step 5: Divide the result by 2: 240 / 2 = 120.
  • Step 6: Conclude that the area of the rhombus is 120.
  • 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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