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

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Question: In a trapezoid, if the lengths of the 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 given by the formula: Area = 1/2 × (base1 + base2) × height. Thus, Area = 1/2 × (8 + 5) × 4 = 26 cm².

In a trapezoid, if the lengths of the 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 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 parallel sides (bases) of the trapezoid. Here, base1 = 8 cm and base2 = 5 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 × (8 + 5) × 4.
Step 5: Calculate the sum of the bases: 8 + 5 = 13.
Step 6: Multiply the sum by the height: 13 × 4 = 52.
Step 7: Divide by 2 to find the area: 52 ÷ 2 = 26 cm².

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 parallel sides.