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

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Question: 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?

Options:

Correct Answer: 26 cm²

Solution:

The area of a trapezoid is calculated using the formula (1/2) × (base1 + base2) × height. Here, area = (1/2) × (8 cm + 5 cm) × 4 cm = 26 cm².

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?

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.

Area of a Trapezoid – The area of a trapezoid is calculated using the formula (1/2) × (base1 + base2) × height, where base1 and base2 are the lengths of the parallel sides.