Answer:
[tex]89[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
area of a triangle = [tex]\frac{bh}{2}[/tex]
so [tex]\frac{(5)(6)}{2}[/tex] = 15 [tex]m^{2}[/tex]
area of a rectangle = [tex]\\ bh[/tex]
so [tex]\\ 8[/tex]×[tex]\\ 13[/tex] [tex]\\ = 104[/tex] [tex]m^{2}[/tex]
so the area of the figure is
[tex]\\ 104[/tex] [tex]m^{2}[/tex] - 15 [tex]m^{2}[/tex] = [tex]89[/tex] [tex]m^{2}[/tex]
