Questions: Find the required measurements of the following trapezoids. a=8 cm b=16 cm h=10 cm Compute the area.

Find the required measurements of the following trapezoids. a=8 cm b=16 cm h=10 cm Compute the area.
Transcript text: Find the required measurements of the following trapezoids. \[ \begin{array}{l} a=8 \mathrm{~cm} \\ b=16 \mathrm{~cm} \\ h=10 \mathrm{~cm} \end{array} \] Compute the area.
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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:

Area = (1/2) * (a + b) * h

where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height.

Step 2: Substitute the given values

We are given a = 8 cm, b = 16 cm, and h = 10 cm. Substituting these values into the formula:

Area = (1/2) * (8 + 16) * 10

Step 3: Calculate the area

Area = (1/2) * 24 * 10 Area = 12 * 10 Area = 120 cm²

Final Answer: The area of the trapezoid is 120 cm².

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