Question

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

Answer 1

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*10 \\ A_1=240ft^2 \end{gathered}`

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

`\begin{gathered} A_2=(1)/(2)bh \\ b=24ft \\ h=7ft \\ A_2=(1)/(2)*24*7 \\ 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`