Given
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.
To find: What is the area of the trapezoid?
Step-by-step explanation:
It is given that,
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.
Since, the area of the trapezoid is,
![Area=(1)/(2)(a+b)h](https://img.qammunity.org/2023/formulas/mathematics/college/q3k9odtrupv3673szmbtlnx9vx7wv2jtqh.png)
Here, a=9cm, b=5cm, h=4cm.
Then,
![\begin{gathered} Area=(1)/(2)(9+5)*4 \\ =(1)/(2)*14*4 \\ =7*4 \\ =28cm^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/x2g1pbp2y8l9ong0qv8tagwj6wu7974m3g.png)
Hence, the area of the trapezoid is 28cm².