A trapezoid has bases of 8 meters and 5 meters, and a height of 4 meters. What i

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Question: A trapezoid has bases of 8 meters and 5 meters, and a height of 4 meters. What is the area of the trapezoid in square meters?

Options:

Correct Answer: 32

Solution:

Area = (1/2) × (base1 + base2) × height = (1/2) × (8 + 5) × 4 = 26 square meters.

A trapezoid has bases of 8 meters and 5 meters, and a height of 4 meters. What is the area of the trapezoid in square meters?

A trapezoid has bases of 8 meters and 5 meters, and a height of 4 meters. What is the area of the trapezoid in square meters?

Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 8 meters and Base 2 is 5 meters.
Step 2: Identify the height of the trapezoid, which is 4 meters.
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 + 5) × 4.
Step 5: Calculate the sum of the bases: 8 + 5 = 13.
Step 6: Multiply the sum of the bases by the height: 13 × 4 = 52.
Step 7: Divide the result by 2 to find the area: 52 ÷ 2 = 26.
Step 8: The area of the trapezoid is 26 square meters.

Area of a Trapezoid – The area of a trapezoid can be calculated using the formula: Area = (1/2) × (base1 + base2) × height, where base1 and base2 are the lengths of the two parallel sides and height is the perpendicular distance between them.