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 given dimensions

The shape is a trapezoid because it has a pair of parallel vertical sides (indicated by the right angles at the bottom base).

The given dimensions are:

• Left parallel side (height \(b_1\)): \(14\)
• Right parallel side (height \(b_2\)): \(10\)
• Perpendicular distance between the parallel sides (base \(h\)): \(3\)

Step 2: Apply the trapezoid area formula

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

$$ \text{Area} = \frac{14 + 10}{2} \times 3 $$

$$ \text{Area} = \frac{24}{2} \times 3 $$

$$ \text{Area} = 12 \times 3 = 36 $$

Answer:

36