Answer:
The area of the figure is equal to [tex]35\ cm^{2}[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of the figure is equal to the area of a square plus the area of a triangle
Find the area of the square
The area of square is equal to
[tex]A=b^{2} =5^{2}=25\ cm^{2}[/tex]
Find the area of the triangle
The area of the triangle is equal to
[tex]A=(1/2)bh=(1/2)(5)(4)=10\ cm^{2}[/tex]
therefore
The area of the figure is equal to
[tex]25\ cm^{2}+10\ cm^{2}=35\ cm^{2}[/tex]
