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A trapezoid has bases of 10 m and 6 m, and a height of 4 m. What is its area?

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

Options:

  1. 32 m²
  2. 36 m²
  3. 40 m²
  4. 44 m²

Correct Answer: 32 m²

Solution: 

Area = 1/2 × (base1 + base2) × height = 1/2 × (10 m + 6 m) × 4 m = 32 m².

A trapezoid has bases of 10 m and 6 m, and a height of 4 m. What is its area?

Practice Questions

Q1
A trapezoid has bases of 10 m and 6 m, and a height of 4 m. What is its area?
  1. 32 m²
  2. 36 m²
  3. 40 m²
  4. 44 m²

Questions & Step-by-Step Solutions

A trapezoid has bases of 10 m and 6 m, and a height of 4 m. What is its area?
Correct Answer: 32 m²
  • Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 10 m and Base 2 is 6 m.
  • Step 2: Identify the height of the trapezoid, which is 4 m.
  • 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 m + 6 m) × 4 m.
  • Step 5: Calculate the sum of the bases: 10 m + 6 m = 16 m.
  • Step 6: Multiply the sum of the bases by the height: 16 m × 4 m = 64 m².
  • Step 7: Divide the result by 2 to find the area: 64 m² ÷ 2 = 32 m².
  • Area of a Trapezoid – The area of a trapezoid can be calculated using the formula: Area = 1/2 × (base1 + base2) × height.
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