240 is the answer you're looking for!
Step-by-step 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:
[tex]l*w=A[/tex]
The length of the rectangle is 12, the width is 20. Add the numbers in:
[tex]12*20=A[/tex]
Solve:
[tex]12*20=240[/tex]
The area of the rectangle is 240. Now solve for the Triangles.
The formula for finding the area of triangles are is:
[tex](L*W)/2[/tex]
The length of the triangle is 12. To find the width subtract 20 from 30.
L = 12, W = 10. Add in the numbers.
[tex](12*10)/2 = A[/tex]
Use order of operations to solve, start with parenthesis:
[tex]120/2=A[/tex]
Rember to divide it by 2 because a triangle is half of a rectangle.
[tex]60 =A[/tex]
Since there are two identical triangles, you don't need to solve for the other
Now, add the areas together:
[tex]60 + 120+60=A[/tex]
Then solve:
[tex]180+60=A[/tex]
[tex]240=A[/tex]
The correct answer is 240.
