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 with vertical parallel bases of lengths \(b_1 = 6\) and \(b_2 = 8\).

The perpendicular distance (height) between these parallel bases is \(h = 4\).

Step 2: Calculate the area

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

$$ \text{Area} = \frac{6 + 8}{2} \times 4 = 7 \times 4 = 28 $$

Answer:

28