Answer:
The total area of the figure is
![22.5\ in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2btqe275nk0uy2vz0dqaysu2p8vwhm9hsm.png)
Explanation:
we know that
The area of the figure is equal to the area of the rectangle plus the area of the isosceles right triangle
Find the area of rectangle
![A=(6)(3)=18\ in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r5pexdgy4xofb05py1zu7osp9op4hhl8lh.png)
Find the area of the isosceles right triangle
![A=(1)/(2)(3)(3)=4.5\ in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/46ip2rwmxdqrordixk1vg43jfbptj98b2r.png)
Find the total area of the figure
![18\ in^(2)+4.5\ in^(2)=22.5\ in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w5pis8ajn0fw5zg2ek9uc60a063qa5xio7.png)