ANSWER
• Perimeter: 34 cm
,
• Area: 48 cm²
Step-by-step explanation
The perimeter of a polygon is the sum of all of its side lengths. The perimeter of this trapezoid is,
![P=5cm+15cm+5cm+9cm=34cm](https://img.qammunity.org/2023/formulas/mathematics/college/i2m6osi8tz5i0jyu2xht2csxhm5bl5vgfy.png)
The area of a trapezoid is,
![A=(b+B)/(2)\cdot h](https://img.qammunity.org/2023/formulas/mathematics/college/d020pq007vikd4m4t7ztlvg5pst3pnkm67.png)
Where b and B are the bases, and h is the height,
![A=(15cm+9cm)/(2)\cdot4cm=48cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/q2szmve3k4x0tefg9zey2u5klpy5rzbgqs.png)
Hence, the perimeter is 34 cm and the area is 48 cm².