What is the area of a trapezoid with bases of lengths 6 and 10, and a height of

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Question: What is the area of a trapezoid with bases of lengths 6 and 10, and a height of 4?

Options:

Correct Answer: 32

Solution:

The area of a trapezoid is given by the formula: A = 0.5 * (base1 + base2) * height. Here, A = 0.5 * (6 + 10) * 4 = 0.5 * 16 * 4 = 32.

What is the area of a trapezoid with bases of lengths 6 and 10, and a height of 4?

What is the area of a trapezoid with bases of lengths 6 and 10, and a height of 4?

Step 1: Identify the lengths of the two bases of the trapezoid. Here, base1 = 6 and base2 = 10.
Step 2: Identify the height of the trapezoid. Here, height = 4.
Step 3: Use the formula for the area of a trapezoid: A = 0.5 * (base1 + base2) * height.
Step 4: Substitute the values into the formula: A = 0.5 * (6 + 10) * 4.
Step 5: Calculate the sum of the bases: 6 + 10 = 16.
Step 6: Multiply the sum by the height: 16 * 4 = 64.
Step 7: Multiply by 0.5: 0.5 * 64 = 32.
Step 8: The area of the trapezoid is 32.

Area of a Trapezoid – The area of a trapezoid can be calculated using the formula A = 0.5 * (base1 + base2) * height, where base1 and base2 are the lengths of the two parallel sides and height is the perpendicular distance between them.