Question

Need help with math pleasefind the area of polygon or shaded regionThe first Image (purple color)

Answer 1

Solution

The image below will be of help

The area (A) of the figure above is given by

$A=A_1+A_2$

The Area A1 is a rectangle and thus, given as

$\begin{gathered} A_1=lb \\ l=24ft \\ b=10ft \\ Therefore, \\ A_1=24\times10 \\ A_1=240ft^2 \end{gathered}$

The Area (A2) is a triangle and thus, given as

$\begin{gathered} A_2=\frac{1}{2}bh \\ b=24ft \\ h=7ft \\ A_2=\frac{1}{2}\times24\times7 \\ A_2=84ft^2 \end{gathered}$

Therefore, the area will be

$\begin{gathered} A=A_1+A_2 \\ A=240+84 \\ A=324ft^2 \end{gathered}$

Therefore, the Area of the shaded region is

$324ft^2$