Question

what is the area of the trapezoid?
4 mm
11 mm
10 mm
10 mm
square millimeters
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Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Identify given values

Here, $b_1 = 4$ mm, $b_2 = 10$ mm, $h = 10$ mm.

Step3: Substitute values into formula

$\frac{1}{2} \times (4 + 10) \times 10$

Step4: Calculate step-by-step

First compute the sum inside the parentheses: $4 + 10 = 14$
Then multiply by the height: $14 \times 10 = 140$
Finally multiply by $\frac{1}{2}$: $\frac{1}{2} \times 140 = 70$

Answer:

70 square millimeters