The formula of an area of a triangle:
[tex]A_{\triangle}=\dfrac{1}{2}bh[/tex]
b - base
h - height
We have b = 8in and h = 3in. Substitute:
[tex]A_{\triangle}=\dfrac{1}{2}(8)(3)=(4)(3)=12\ in^2[/tex]
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=lw[/tex]
l - length
w - width
We have l = 8in and w = 5in. Substitute:
[tex]A_{\boxed{\ }}=(8)(5)=40\ in^2[/tex]
The area of a shaded region:
[tex]A=A_{\boxed{\ }}-A_{\triangle}\\\\A=40\ in^2-12\ in^2=28\ in^2[/tex]
Answer: 28 in²
