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calculate the area: 9cm 11cm 5cm

Question

calculate the area:
9cm
11cm
5cm

Explanation:

Step1: Identify 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 two parallel sides, and $h$ is the height between them.

Step2: Assign values to variables

Here, $a = 9\ \text{cm}$, $b = 11\ \text{cm}$, $h = 5\ \text{cm}$.

Step3: Substitute values into formula

$\text{Area} = \frac{1}{2} \times (9 + 11) \times 5$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $9 + 11 = 20$
Then multiply by the height: $20 \times 5 = 100$
Finally multiply by $\frac{1}{2}$: $\frac{1}{2} \times 100 = 50$

Answer:

$50\ \text{cm}^2$