240 is the answer you're looking for!
Explanation:
To find the area, spilt the trapezoid into 3 shapes.
2 triangles (at the ends) and 1 rectangle (the center).
Let's start with the rectangle, the formula for rectangle area is:
![l*w=A](https://img.qammunity.org/2022/formulas/mathematics/high-school/aa2d1sn7dibllanvgduz6wdr2k1e0do6zi.png)
The length of the rectangle is 12, the width is 20. Add the numbers in:
![12*20=A](https://img.qammunity.org/2022/formulas/mathematics/high-school/rnmtif1fnw5ahhvu6itblqirjumhint4t6.png)
Solve:
![12*20=240](https://img.qammunity.org/2022/formulas/mathematics/high-school/u0szg8yajiqeccs4lkfqubnxww5u44yaw6.png)
The area of the rectangle is 240. Now solve for the Triangles.
The formula for finding the area of triangles are is:
![(L*W)/2](https://img.qammunity.org/2022/formulas/mathematics/high-school/t4sikkf6g214tkvvxarxmkkoy0eg4yvfv3.png)
The length of the triangle is 12. To find the width subtract 20 from 30.
L = 12, W = 10. Add in the numbers.
![(12*10)/2 = A](https://img.qammunity.org/2022/formulas/mathematics/high-school/qibbtqyk9dh9xax5kselp0q4e89csoxhux.png)
Use order of operations to solve, start with parenthesis:
![120/2=A](https://img.qammunity.org/2022/formulas/mathematics/high-school/m37zynnf1s4i53cmepp9k43fe4nbt171h8.png)
Rember to divide it by 2 because a triangle is half of a rectangle.
![60 =A](https://img.qammunity.org/2022/formulas/mathematics/high-school/fyfq1kqak525wopihjwri4p0fh0ephi4zw.png)
Since there are two identical triangles, you don't need to solve for the other
Now, add the areas together:
![60 + 120+60=A](https://img.qammunity.org/2022/formulas/mathematics/high-school/nsa448je2doowjfcf73ce826slxmvvofej.png)
Then solve:
![180+60=A](https://img.qammunity.org/2022/formulas/mathematics/high-school/ocke6db4uw95b394b9qqcyoq770nrck8mo.png)
![240=A](https://img.qammunity.org/2022/formulas/mathematics/high-school/q4ixtpa5glggquzu326e7zef2e2phtne0y.png)
The correct answer is 240.