Answer:
The missing area is 28 square inches
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
The area of triangle is given by the formula
[tex]A=\frac{1}{2}(b)(h)[/tex]
In this problem
In each side of the square there are two triangles with the same area, because they have the same base and the same height
so
[tex]16+20+32=C+2D+2A+B[/tex]
[tex]68=C+2D+2A+B[/tex]
Group terms
[tex](B+C)=68-2D-2A[/tex]
[tex](B+C)=68-2(D+A)[/tex] ----> equation A
we have that
[tex]A+D=20\ cm^2[/tex] ----> equation B see the picture
substitute equation B in equation A
[tex](B+C)=68-2(20)=28\ cm^2[/tex]
therefore
The missing area is 28 square inches
