In a trapezoid, if the lengths of the parallel sides are 8 cm and 12 cm, and the

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Question: In a trapezoid, if the lengths of the parallel sides are 8 cm and 12 cm, and the height is 5 cm, what is the area?

Options:

Correct Answer: 50 cm²

Solution:

The area of a trapezoid is given by the formula: Area = 1/2 × (base1 + base2) × height. Thus, Area = 1/2 × (8 + 12) × 5 = 50 cm².

In a trapezoid, if the lengths of the parallel sides are 8 cm and 12 cm, and the height is 5 cm, what is the area?

In a trapezoid, if the lengths of the parallel sides are 8 cm and 12 cm, and the height is 5 cm, what is the area?

Step 1: Identify the lengths of the parallel sides (bases) of the trapezoid. Here, base1 = 8 cm and base2 = 12 cm.
Step 2: Identify the height of the trapezoid. Here, the height = 5 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 + 12) × 5.
Step 5: Calculate the sum of the bases: 8 + 12 = 20.
Step 6: Multiply the sum of the bases by the height: 20 × 5 = 100.
Step 7: Divide the result by 2 to find the area: 100 ÷ 2 = 50 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.