If a trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm, what i

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Question: If a trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm, what is its area?

Options:

Correct Answer: 32 cm²

Solution:

The area of a trapezoid is calculated using the formula (1/2) × (base1 + base2) × height. Therefore, area = (1/2) × (10 cm + 6 cm) × 4 cm = 32 cm².

If a trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm, what is its area?

If a trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm, what is its area?

Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 10 cm and Base 2 is 6 cm.
Step 2: Identify the height of the trapezoid, which is 4 cm.
Step 3: Use the formula for the area of a trapezoid: Area = (1/2) × (Base 1 + Base 2) × Height.
Step 4: Substitute the values into the formula: Area = (1/2) × (10 cm + 6 cm) × 4 cm.
Step 5: Calculate the sum of the bases: 10 cm + 6 cm = 16 cm.
Step 6: Multiply the sum of the bases by the height: 16 cm × 4 cm = 64 cm².
Step 7: Finally, multiply by 1/2: (1/2) × 64 cm² = 32 cm².
Step 8: The area of the trapezoid is 32 cm².

Area of a Trapezoid – The area of a trapezoid is calculated using the formula (1/2) × (base1 + base2) × height, which involves understanding the properties of trapezoids and the significance of bases and height.