Answer:
B. 36 square inches
Step-by-step explanation:
we know that
The area of the mat is equal to the area of the rectangle containing a mat and a picture minus the area of the picture
The area of the picture is equal to the area of two trapezoids plus the area of the central rectangle
step 1
Find the area of the rectangle containing a mat and a picture
[tex]A=(12)(6)=72\ in^2[/tex]
step 2
Find the area of the picture (two trapezoids plus the area of the central rectangle)
[tex]A=\frac{1}{2}(4+2)(2)+\frac{1}{2}(4+2)(2)+(6)(4)[/tex]
[tex]A=36\ in^2[/tex]
step 3
Subtract the areas
[tex]72-36=36\ in^2[/tex]
