Questions: Find the area of the trapezoid. A 231 cm² B 392 cm² C 308 cm² D 336 cm²

Find the area of the trapezoid. A 231 cm² B 392 cm² C 308 cm² D 336 cm²
Transcript text: Find the area of the trapezoid. A $231 \mathrm{~cm}^{2}$ B $392 \mathrm{~cm}^{2}$ C $308 \mathrm{~cm}^{2}$ D $336 \mathrm{~cm}^{2}$
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Solution

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Solution Steps

Step 1: Formula for the area of a trapezoid

The area of a trapezoid is given by the formula: A = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases (parallel sides), and h is the height (perpendicular distance between the bases).

Step 2: Plug in the values

In this case, b1 = 21 cm, b2 = 35 cm, and h = 11 cm. Plugging these values into the formula, we get: A = (1/2) * (21 cm + 35 cm) * 11 cm

Step 3: Calculate the area

A = (1/2) * (56 cm) * 11 cm A = 28 cm * 11 cm A = 308 cm²

Final Answer

C

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