Question

write an equation to find the area of each figure. Then determine the area of the composite figure. When pi is used, the area will be an approximation.

Answer 1

ANSWER:

The area of the composite figure is 34 m^2

STEP-BY-STEP EXPLANATION:

To calculate the area of the complete figure, you have to separate the figure in two ways, just like this:

Figure A is a square and we calculate the area like this:

$\begin{gathered} A_A=l^2 \\ A_A=4^2=16 \end{gathered}$

Figure B is a trapezoid and we calculate the area like this:

$\begin{gathered} A_B=\frac{b_1+b_2_{}}{2}\cdot h \\ A_B=\frac{4+8}{2}\cdot3 \\ A_B=18 \end{gathered}$

Now the total area is the sum of both parts:

$\begin{gathered} A_T=A_A+A_B \\ A_T=16+18 \\ A_T=34 \end{gathered}$