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If the diagonals of a rhombus are 12 cm and 16 cm, what is the area of the rhomb

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Question: If the diagonals of a rhombus are 12 cm and 16 cm, what is the area of the rhombus?

Options:

  1. 96 cm²
  2. 48 cm²
  3. 192 cm²
  4. 64 cm²

Correct Answer: 96 cm²

Solution: 

The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2. Here, d1 = 12 cm and d2 = 16 cm, so Area = (12 * 16) / 2 = 96 cm².

If the diagonals of a rhombus are 12 cm and 16 cm, what is the area of the rhomb

Practice Questions

Q1
If the diagonals of a rhombus are 12 cm and 16 cm, what is the area of the rhombus?
  1. 96 cm²
  2. 48 cm²
  3. 192 cm²
  4. 64 cm²

Questions & Step-by-Step Solutions

If the diagonals of a rhombus are 12 cm and 16 cm, what is the area of the rhombus?
  • Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 12 cm and d2 = 16 cm.
  • 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 = (12 * 16) / 2.
  • Step 4: Calculate the product of the diagonals: 12 * 16 = 192.
  • Step 5: Divide the result by 2: 192 / 2 = 96.
  • Step 6: Conclude that the area of the rhombus is 96 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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