Answer:
183in^2
Explanation:
Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.
15x26=390in
We now want to figure out the small rectangle on the bottom of the image.
The area of a triangle is A=hb/2
A=6x15/2=45
In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.
45x2=90
Finally, we can solve for the remaining triangle.
A=9x26/2=117
Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.
390-(90+117)=183in^2
Hope this helps :)