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4. find the area:
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Question

  1. find the area:

Explanation:

Step1: Recall area formula for trapezoid

The formula for the area of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the parallel - sides and $h$ is the height.

Step2: Identify values of $a$, $b$ and $h$

Here, $a = 6$ cm, $b = 12$ cm and $h = 5$ cm.

Step3: Substitute values into formula

$A=\frac{(6 + 12)\times5}{2}=\frac{18\times5}{2}$.

Step4: Calculate the result

$\frac{18\times5}{2}=\frac{90}{2}=45$ $cm^{2}$.

Answer:

$45$ $cm^{2}$