Question

ind the area of the shaded portion of the figures below

Answer 1

hello

to solve this problem, we have to subtract the area of the square from the area of the rectangle since the square is embedded inside the rectangle.

$\begin{gathered} A_{\text{rec}}=l\times w \\ A=9\times14 \\ A=126m^2 \end{gathered}$

and now we should find the area of the square

$\begin{gathered} A_{\text{square}}=l^2 \\ A=5\times5 \\ A=25m^2 \end{gathered}$

now we can subtract the area of the square from the rectangle

$\begin{gathered} A_{of\text{ shaded region}}=(126-25)m^2 \\ A=101m^2 \end{gathered}$

from the calclations above, the area of the shaded region is equal to 101 squared meter