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A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What

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Question: A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What is the area of the trapezoid?

Options:

  1. 32
  2. 36
  3. 40
  4. 44

Correct Answer: 36

Solution:

Area = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 square meters.

A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What

Practice Questions

Q1
A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What is the area of the trapezoid?
  1. 32
  2. 36
  3. 40
  4. 44

Questions & Step-by-Step Solutions

A trapezoid has bases of 10 meters and 6 meters, and a height of 4 meters. What is the area of the trapezoid?
  • Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 10 meters and Base 2 is 6 meters.
  • Step 2: Identify the height of the trapezoid, which is 4 meters.
  • Step 3: Use the formula for the area of a trapezoid: Area = (1/2) × (base1 + base2) × height.
  • Step 4: Substitute the values into the formula: Area = (1/2) × (10 + 6) × 4.
  • Step 5: Calculate the sum of the bases: 10 + 6 = 16.
  • Step 6: Multiply the sum of the bases by the height: 16 × 4 = 64.
  • Step 7: Finally, multiply by 1/2: (1/2) × 64 = 32.
  • Step 8: The area of the trapezoid is 32 square meters.
  • Area of a Trapezoid – The area of a trapezoid can be calculated using the formula: Area = (1/2) × (base1 + base2) × height, where base1 and base2 are the lengths of the two parallel sides and height is the perpendicular distance between them.
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