Answer:
= 197.5
![cm^(2)](https://img.qammunity.org/2023/formulas/mathematics/middle-school/agjo0r9duslb7ty7wtxf8g0qv5197jqnq3.png)
Explanation:
1) first split the shape into two shapes (a rectangle and trapezium)
2. find the area of the rectangle
10 x 6 = 60
![cm^(2)](https://img.qammunity.org/2023/formulas/mathematics/middle-school/agjo0r9duslb7ty7wtxf8g0qv5197jqnq3.png)
3. find the missing sides for the trapezium and substitute it into the formula for finding the area of trapezium
(
)xh
a=10
b= 15
h = 11 (17-6=11)
(
)x 11
this gives you 137.5
![cm^(2)](https://img.qammunity.org/2023/formulas/mathematics/middle-school/agjo0r9duslb7ty7wtxf8g0qv5197jqnq3.png)
4. add both the areas together
60
+ 137.5
= 197.5
![cm^(2)](https://img.qammunity.org/2023/formulas/mathematics/middle-school/agjo0r9duslb7ty7wtxf8g0qv5197jqnq3.png)
5 so your final answer is 197.5
![cm^(2)](https://img.qammunity.org/2023/formulas/mathematics/middle-school/agjo0r9duslb7ty7wtxf8g0qv5197jqnq3.png)