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A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?

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Question: A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?

Options:

  1. 26 m²
  2. 30 m²
  3. 20 m²
  4. 24 m²

Correct Answer: 26 m²

Solution:

Area = (base1 + base2) × height / 2 = (8 m + 5 m) × 4 m / 2 = 26 m².

A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?

Practice Questions

Q1
A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?
  1. 26 m²
  2. 30 m²
  3. 20 m²
  4. 24 m²

Questions & Step-by-Step Solutions

A trapezoid has bases of 8 m and 5 m, and a height of 4 m. What is its area?
  • Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 8 m and Base 2 is 5 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 = (base1 + base2) × height / 2.
  • Step 4: Substitute the values into the formula: Area = (8 m + 5 m) × 4 m / 2.
  • Step 5: Calculate the sum of the bases: 8 m + 5 m = 13 m.
  • Step 6: Multiply the sum of the bases by the height: 13 m × 4 m = 52 m².
  • Step 7: Divide the result by 2 to find the area: 52 m² / 2 = 26 m².
  • Area of a Trapezoid – The area of a trapezoid can be calculated using the formula: Area = (base1 + base2) × height / 2.
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