Answer:
[tex]74\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The composite figure can be broken down into a rectangle and a triangle. The area of a rectangle is given by [tex]A=l\cdot w[/tex], where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. The area of a triangle is given by [tex]A=\frac{1}{2}\cdot b\cdot h[/tex], where [tex]b[/tex] is the base of the triangle and [tex]h[/tex] is the height.
Area of rectangle: [tex]3\cdot 13=39\:\mathrm{cm^2}[/tex]
Area of triangle: [tex]\frac{1}{2}\cdot 7\cdot 10=35\:\mathrm{cm^2}[/tex]
Therefore, the area of the figure is equal to [tex]39+35=\boxed{74\:\mathrm{cm^2}}[/tex]
