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What is the area of a rhombus with diagonals of 10 cm and 8 cm?

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Question: What is the area of a rhombus with diagonals of 10 cm and 8 cm?

Options:

  1. 40 cm²
  2. 45 cm²
  3. 50 cm²
  4. 55 cm²

Correct Answer: 40 cm²

Solution: 

Area = 1/2 × d1 × d2 = 1/2 × 10 cm × 8 cm = 40 cm².

What is the area of a rhombus with diagonals of 10 cm and 8 cm?

Practice Questions

Q1
What is the area of a rhombus with diagonals of 10 cm and 8 cm?
  1. 40 cm²
  2. 45 cm²
  3. 50 cm²
  4. 55 cm²

Questions & Step-by-Step Solutions

What is the area of a rhombus with diagonals of 10 cm and 8 cm?
Correct Answer: 40 cm²
  • Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 10 cm and d2 = 8 cm.
  • Step 2: Use the formula for the area of a rhombus, which is Area = 1/2 × d1 × d2.
  • Step 3: Substitute the values of the diagonals into the formula: Area = 1/2 × 10 cm × 8 cm.
  • Step 4: Calculate the multiplication: 10 cm × 8 cm = 80 cm².
  • Step 5: Now, multiply by 1/2: Area = 1/2 × 80 cm² = 40 cm².
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