Answer:
83 square inches
Explanation:
Let's find the answer, you can see the attached file for clarity.
Because we have a rectangle measuring 8 inches by 5 inches, we can use the area of the rectangle as follows:
A1=base*height=(8 inches)*(5 inches)=40 square inches
Now, because we have a triangle over the square side of 8 inches long, we can divide the triangle into 2 rectangle triangles, each of them with a base of 4 inches and a height of 7 inches, obtaining:
A2=2*(base*height/2)=2*(4 inches)*(7 inches)/2=28 square inches
Doing the same for the other triangle we get 2 triangles with a base of 2.5 inches and a height of 6 inches, obtaining:
A3=2*(base*height/2)=2*(2.5 inches)*(6 inches)/2=15 square inches
The addition of all areas is:
A=A1+A2+A3=40 square inches + 28 square inches + 15 square inches
A=83 square inches.
In conclusion we have an area of 83 square inches.