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11 cm, 10 cm, 5 cm, square centimeters

Question

11 cm, 10 cm, 5 cm, square centimeters

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (a + b) \times h$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height between them.

Step2: Identify given values

Here, $a = 5\ \text{cm}$, $b = 11\ \text{cm}$, $h = 10\ \text{cm}$.

Step3: Substitute values into formula

$$\begin{align*} \text{Area} &= \frac{1}{2} \times (5 + 11) \times 10 \\ &= \frac{1}{2} \times 16 \times 10 \end{align*}$$

Step4: Calculate the result

$$\begin{align*} \text{Area} &= 8 \times 10 \\ &= 80 \end{align*}$$

Answer:

80 square centimeters