The formula for the are of a trapezoid is as follows:
![A=((b_1+b_2)h)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/srgonija9adxv3ii24f5ii01vmidfkcwih.png)
where the b₁ and b₂ are the lengths of the bases and the h is the height of the trapezoid.
Substitute the given values into the equation.
![A=((5+12)(4))/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/bcjqkqs48b2j5zzuhf41vc2glj9dfotpiy.png)
Simplify the expression inside the parentheses. Add.
![A=(17(4))/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/4dn1nfvy5hy7rwp87ttaogltf275zfleau.png)
Divide 4 by 2.
![A=17(2)](https://img.qammunity.org/2023/formulas/mathematics/college/70xeduamqx2vbu1a3u44zeawqqrb439xdt.png)
Multiply 17 by 2.
![A=34](https://img.qammunity.org/2023/formulas/mathematics/college/i39wkyt3umal3dejbzugmzkxvqav02jvz8.png)
Therefore, the area is 34 cm squared.