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 its dimensions

The shape has a pair of parallel vertical sides of lengths \(a = 6\) and \(b = 8\).

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

This shape is a trapezoid oriented vertically.

Step 2: Calculate the area

Using the trapezoid area formula:

$$ \text{Area} = \frac{a + b}{2} \times h $$

Substitute the values:

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

Answer:

28