Question

what is the area of the trapezoid?
1.3 mm
1.3 mm
0.5 mm
2.5 mm
square millimeters
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understanding area of a trapezoid
division with decimal divisors
lesson: area of trapezoids

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 (perpendicular distance between them).

Step2: Identify values from the diagram

Here, $b_1 = 1.3$ mm, $b_2 = 2.5$ mm, and $h = 0.5$ mm.

Step3: Substitute values into formula

$$\begin{align*} \text{Area} &= \frac{1}{2} \times (1.3 + 2.5) \times 0.5 \\ &= \frac{1}{2} \times 3.8 \times 0.5 \end{align*}$$

Step4: Calculate the result

First compute $3.8 \times 0.5 = 1.9$, then $\frac{1}{2} \times 1.9 = 0.95$.

Answer:

0.95 square millimeters