Question

5) Find the area of the composite figure. 13.1 ft 15.0 ft 7.2 ft А triangle ft2 А parallelogram - ft² А figure ft2

Answer 1

Area of figure = Area of triangule + area of paralelogram

Area of triangule (At):

$A_t=\frac{b\cdot h}{2},\text{ b = base and h = height}$$\begin{gathered} A_t=\frac{7.2\cdot3.1}{2} \\ A_t=\frac{22.32}{2}=11.16ft^2 \end{gathered}$

Area of paralelogram (Ap):

$\begin{gathered} A_p=b\cdot h \\ A_p=7.2\cdot5 \\ A_p=36ft^2 \end{gathered}$

Area figure = At + Ap = 11.16+36

Area figure = 47.16 ft²