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

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

Options:

  1. 32
  2. 40
  3. 24
  4. 28

Correct Answer: 32

Solution:

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

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

Practice Questions

Q1
What is the area of a trapezoid with bases of lengths 6 and 10 units and a height of 4 units?
  1. 32
  2. 40
  3. 24
  4. 28

Questions & Step-by-Step Solutions

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