Question

Find the area.
a = [?]cm²
2 cm, 7 cm and 16 cm
Shape: Trapezoid
Area of a trapezoid: (Base¹ + Base²)/2 x Height
Base: 7
Height: 16

Answer 1

To find the area of a trapezoid using the formula:

\[
\text{Area} = \frac{(Base_1 + Base_2)}{2} \times Height
\]

we need to identify the two bases and the height. Given:

- Base 1 (Base_1) = 7 cm
- Base 2 (Base_2) = 2 cm
- Height = 16 cm

Now, we can plug these values into the formula:

\[
\text{Area} = \frac{(7 \, \text{cm} + 2 \, \text{cm})}{2} \times 16 \, \text{cm}
\]

Calculating the sum of the bases:

\[
7 + 2 = 9 \, \text{cm}
\]

Now substitute into the area formula:

\[
\text{Area} = \frac{9 \, \text{cm}}{2} \times 16 \, \text{cm}
\]

\[
= 4.5 \, \text{cm} \times 16 \, \text{cm}
\]

\[
= 72 \, \text{cm}^2
\]

Thus, the area of the trapezoid is

\[
\boxed{72} \, \text{cm}^2
\]