Question

there is a pair of parallel sides in the following shape. what is the area of the shape? units²

Explanation:

Step1: Identify the shape as a trapezoid

The shape is a trapezoid with bases $b_1 = 3$, $b_2=7$ and height $h = 3$.

Step2: Use the trapezoid - area formula

The area formula of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$. Substitute $b_1 = 3$, $b_2 = 7$ and $h = 3$ into the formula: $A=\frac{(3 + 7)\times3}{2}$.

Step3: Calculate the area

First, calculate the sum of the bases: $3+7 = 10$. Then, multiply by the height: $10\times3=30$. Finally, divide by 2: $\frac{30}{2}=15$.

Answer:

15