Question

there is a pair of parallel sides in the following shape.
what is the area of the shape?
\\( \text{units}^2 \\)

Explanation:

⚡ Using what you learned: Area of Trapezoids and Other Polygons

Step 1: Identify the shape and dimensions

The shape is a trapezoid because it has a pair of parallel vertical sides.

• The lengths of the parallel bases are \(b_1 = 9\) and \(b_2 = 5\).
• The perpendicular distance (height) between these parallel bases is \(h = 3\).

Step 2: Calculate the area

Using the trapezoid area formula:

$$ \text{Area} = \frac{b_1 + b_2}{2} \times h $$

$$ \text{Area} = \frac{9 + 5}{2} \times 3 $$

$$ \text{Area} = 7 \times 3 = 21 $$

Answer:

21