In a trapezoid, if the lengths of the two parallel sides are 10 cm and 6 cm, and

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Question: In a trapezoid, if the lengths of the two parallel sides are 10 cm and 6 cm, and the height is 4 cm, what is the area?

Options:

Correct Answer: 32 cm²

Solution:

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

In a trapezoid, if the lengths of the two parallel sides are 10 cm and 6 cm, and the height is 4 cm, what is the area?

In a trapezoid, if the lengths of the two parallel sides are 10 cm and 6 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. Here, base1 = 10 cm and base2 = 6 cm.
Step 2: Identify the height of the trapezoid. Here, the height = 4 cm.
Step 3: Use the area formula for a trapezoid: Area = (1/2) * (base1 + base2) * 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: Divide by 2 to find the area: Area = 64 cm² / 2 = 32 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.