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In a trapezoid, if the lengths of the bases are 8 cm and 12 cm, and the height i

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Question: In a trapezoid, if the lengths of the bases are 8 cm and 12 cm, and the height is 5 cm, what is the area?

Options:

  1. 50 cm²
  2. 40 cm²
  3. 60 cm²
  4. 30 cm²

Correct Answer: 50 cm²

Solution:

The area of a trapezoid is given by the formula (1/2) * (base1 + base2) * height. Thus, the area is (1/2) * (8 cm + 12 cm) * 5 cm = 50 cm².

In a trapezoid, if the lengths of the bases are 8 cm and 12 cm, and the height i

Practice Questions

Q1
In a trapezoid, if the lengths of the bases are 8 cm and 12 cm, and the height is 5 cm, what is the area?
  1. 50 cm²
  2. 40 cm²
  3. 60 cm²
  4. 30 cm²

Questions & Step-by-Step Solutions

In a trapezoid, if the lengths of the bases are 8 cm and 12 cm, and the height is 5 cm, what is the area?
  • Step 1: Identify the lengths of the bases of the trapezoid. Base 1 is 8 cm and Base 2 is 12 cm.
  • Step 2: Identify the height of the trapezoid, which is 5 cm.
  • 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) * (8 cm + 12 cm) * 5 cm.
  • Step 5: Calculate the sum of the bases: 8 cm + 12 cm = 20 cm.
  • Step 6: Multiply the sum of the bases by the height: 20 cm * 5 cm = 100 cm².
  • Step 7: Divide by 2 to find the area: 100 cm² / 2 = 50 cm².
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