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The 2 parallel sides of a trapezoid measure
8cm and
4cm. If the height is 3
cm, what is the area of the trapezoid?

$12$ . The $2$ parallel sides of a trapezoid measure $8 \mathrm{~cm}$ and $4 \mathrm{~cm}$ . If the height is $3$ $\mathrm{cm}$ , what is the area of the trapezoid?

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Find the slope of a tangent line using limits

Full solution

Q.

12

. The

2

parallel sides of a trapezoid measure

8 \mathrm{~cm}

and

4 \mathrm{~cm}

. If the height is

3

\mathrm{cm}

, what is the area of the trapezoid?

Recall Formula: Recall the formula for the area of a trapezoid. $\newline$ The area of a trapezoid is given by the formula: $\text{Area} = \frac{1}{2} \times (\text{sum of the lengths of the parallel sides}) \times (\text{height})$ .
Plug in Values: Plug in the given values into the formula. $\newline$ The given values are: one parallel side is $8\,\text{cm}$ , the other parallel side is $4\,\text{cm}$ , and the height is $3\,\text{cm}$ . $\newline$ Area $= \frac{1}{2} \times (8\,\text{cm} + 4\,\text{cm}) \times 3\,\text{cm}$ .
Perform Calculations: Perform the calculations. $\newline$ First, add the lengths of the parallel sides: $8\,\text{cm} + 4\,\text{cm} = 12\,\text{cm}$ . $\newline$ Then, multiply by the height: $12\,\text{cm} \times 3\,\text{cm} = 36\,\text{cm}^2$ . $\newline$ Finally, multiply by $1/2$ to find the area: $(1/2) \times 36\,\text{cm}^2 = 18\,\text{cm}^2$ .

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