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 has a pair of parallel vertical sides of lengths \(b_1 = 6\) and \(b_2 = 8\).

The perpendicular distance between these parallel sides (the height of the trapezoid) is given by the dashed line:

$$h = 4$$

Step 2: Calculate the area

Using the trapezoid area formula:

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

$$A = \frac{6 + 8}{2} \times 4$$

$$A = 7 \times 4 = 28$$

Answer:

28