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What is the area of a trapezoid with bases of lengths 10 and 6 units and a heigh

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Question: What is the area of a trapezoid with bases of lengths 10 and 6 units and a height of 4 units?

Options:

  1. 32
  2. 40
  3. 48
  4. 52

Correct Answer: 32

Solution:

The area A of a trapezoid is given by A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (10 + 6) * 4 = 0.5 * 16 * 4 = 32.

What is the area of a trapezoid with bases of lengths 10 and 6 units and a heigh

Practice Questions

Q1
What is the area of a trapezoid with bases of lengths 10 and 6 units and a height of 4 units?
  1. 32
  2. 40
  3. 48
  4. 52

Questions & Step-by-Step Solutions

What is the area of a trapezoid with bases of lengths 10 and 6 units and a height of 4 units?
  • Step 1: Identify the lengths of the two bases of the trapezoid. Here, base1 = 10 units and base2 = 6 units.
  • Step 2: Identify the height of the trapezoid. Here, the height = 4 units.
  • Step 3: Use the formula for the area of a trapezoid: A = 0.5 * (base1 + base2) * height.
  • Step 4: Substitute the values into the formula: A = 0.5 * (10 + 6) * 4.
  • Step 5: Calculate the sum of the bases: 10 + 6 = 16.
  • Step 6: Multiply the sum by the height: 16 * 4 = 64.
  • Step 7: Finally, multiply by 0.5: 0.5 * 64 = 32.
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