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In a trapezoid, if the lengths of the parallel sides are 10 cm and 6 cm, and the

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Question: In a trapezoid, if the lengths of the parallel sides are 10 cm and 6 cm, and the height is 4 cm, what is the area of the trapezoid?

Options:

  1. 32 cm²
  2. 40 cm²
  3. 24 cm²
  4. 28 cm²

Correct Answer: 32 cm²

Solution: 

The area of a trapezoid is given by the formula: Area = (1/2) * (b1 + b2) * h. Here, b1 = 10 cm, b2 = 6 cm, and h = 4 cm. Area = (1/2) * (10 + 6) * 4 = 32 cm².

In a trapezoid, if the lengths of the parallel sides are 10 cm and 6 cm, and the

Practice Questions

Q1
In a trapezoid, if the lengths of the parallel sides are 10 cm and 6 cm, and the height is 4 cm, what is the area of the trapezoid?
  1. 32 cm²
  2. 40 cm²
  3. 24 cm²
  4. 28 cm²

Questions & Step-by-Step Solutions

In a trapezoid, if the lengths of the parallel sides are 10 cm and 6 cm, and the height is 4 cm, what is the area of the trapezoid?
  • Step 1: Identify the lengths of the parallel sides of the trapezoid. Here, b1 (the longer side) is 10 cm and b2 (the shorter side) is 6 cm.
  • Step 2: Identify the height of the trapezoid. The height (h) is given as 4 cm.
  • Step 3: Write down the formula for the area of a trapezoid: Area = (1/2) * (b1 + b2) * h.
  • Step 4: Substitute the values into the formula: Area = (1/2) * (10 + 6) * 4.
  • Step 5: Calculate the sum of the parallel sides: 10 + 6 = 16.
  • Step 6: Multiply the sum by the height: 16 * 4 = 64.
  • Step 7: Divide the result by 2: 64 / 2 = 32.
  • Step 8: Conclude that the area of the trapezoid is 32 cm².
  • Area of a Trapezoid – The area of a trapezoid can be calculated using the formula: Area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the parallel sides and h is the height.
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