Answer:
The shaded area is [tex]23\ in^{2}[/tex]
Step-by-step explanation:
we know that
The shaded area is equal to the area of the large square minus the area of the two smaller squares
so
[tex]A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})[/tex]
[tex]A=(2^{2})(3^{2}) -(3^{2} +2^{2})[/tex] ---> expression that represent the shaded area
Calculate the shaded area
Remember that
[tex]3^{2}=9\\ 2^{2}=4[/tex]
substitute
[tex]A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}[/tex]
