In a trapezoid, if the lengths of the two parallel sides are 8 cm and 5 cm, and

Practice Questions

Q1
In a trapezoid, if the lengths of the two parallel sides are 8 cm and 5 cm, and the height is 4 cm, what is the area?
  1. 26 cm²
  2. 32 cm²
  3. 40 cm²
  4. 30 cm²

Questions & Step-by-Step Solutions

In a trapezoid, if the lengths of the two parallel sides are 8 cm and 5 cm, and the height is 4 cm, what is the area?
  • Step 1: Identify the lengths of the two parallel sides (bases) of the trapezoid. They are 8 cm and 5 cm.
  • Step 2: Identify the height of the trapezoid. The height is 4 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 + 5 cm) × 4 cm.
  • Step 5: Calculate the sum of the bases: 8 cm + 5 cm = 13 cm.
  • Step 6: Multiply the sum of the bases by the height: 13 cm × 4 cm = 52 cm².
  • Step 7: Multiply by 1/2: (1/2) × 52 cm² = 26 cm².
  • Step 8: The area of the trapezoid is 26 cm².
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