Answer:
[tex]10\frac{5}{12}[/tex] sq. meters
Step-by-step explanation:
The area of the wall is height * width, so:
Area of Wall = [tex]2\frac{1}{2}*5\frac{1}{2}=\frac{5}{2}*\frac{11}{2}=\frac{55}{4}[/tex]
1 painting area is [tex]1\frac{1}{4}*\frac{2}{3}=\frac{5}{4}*\frac{2}{3}=\frac{10}{12}[/tex]
Thus, 4 of them have area = [tex]4*\frac{10}{12}=\frac{40}{12}[/tex]
Area NOT COVERED = Area of Wall - Area of 4 paintings together
Area NOT COVERED = [tex]\frac{55}{4}-\frac{40}{12}\\=\frac{55(3)-40}{12}=\frac{125}{12}=10\frac{5}{12}[/tex]
Thus [tex]10\frac{5}{12}[/tex] sq. m. is NOT COVERED
