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

The shape has a pair of parallel vertical sides of lengths \(a = 5\) and \(b = 6\). The perpendicular distance between these parallel sides (the height) is \(h = 7\). This shape is a trapezoid.

Step 2: Apply the area formula

The formula for the area of a trapezoid is:

$$ A = \frac{a + b}{2} \cdot h $$

Substitute the given values:

$$ A = \frac{5 + 6}{2} \cdot 7 $$

$$ A = \frac{11}{2} \cdot 7 $$

$$ A = 5.5 \cdot 7 $$

$$ A = 38.5 $$

Answer:

38.5