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A trapezoidal garden has bases of 8 meters and 12 meters, and a height of 5 mete

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Question: A trapezoidal garden has bases of 8 meters and 12 meters, and a height of 5 meters. What is the area of the garden in square meters?

Options:

  1. 50
  2. 60
  3. 70
  4. 80

Correct Answer: 60

Solution: 

Area = (1/2) × (base1 + base2) × height = (1/2) × (8 + 12) × 5 = 50 square meters.

A trapezoidal garden has bases of 8 meters and 12 meters, and a height of 5 mete

Practice Questions

Q1
A trapezoidal garden has bases of 8 meters and 12 meters, and a height of 5 meters. What is the area of the garden in square meters?
  1. 50
  2. 60
  3. 70
  4. 80

Questions & Step-by-Step Solutions

A trapezoidal garden has bases of 8 meters and 12 meters, and a height of 5 meters. What is the area of the garden in square meters?
  • Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 8 meters and Base 2 is 12 meters.
  • Step 2: Identify the height of the trapezoid, which is 5 meters.
  • Step 3: Add the lengths of the two bases together: 8 + 12 = 20 meters.
  • Step 4: Multiply the sum of the bases by the height: 20 × 5 = 100.
  • Step 5: Since we need the area of a trapezoid, we take half of the result from Step 4: (1/2) × 100 = 50 square meters.
  • Area of a Trapezoid – The area of a trapezoid is calculated using the formula: Area = (1/2) × (base1 + base2) × height.
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