Question

(05.03)Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Answer 1

we must divide the figure on parts

we have 3 areas

firts will calculate the green triangle

the formula is

`A_g=(b* h)/(2)`

where the height is 15ft and the base 19-4=15ft

so replacing

`\begin{gathered} A_g=(15*15)/(2) \\ \\ A_g=(225)/(2) \end{gathered}`

Second will calculate the red rectange

the formula is

`A_r=b* h`

where the height 25 and the base 4

`\begin{gathered} A_r=25*4 \\ A_r=100 \end{gathered}`

Third will calculate the yellog triangle

th formula is

`A_y=(b* h)/(2)`

where b is 4ft and the height 29-25=4ft

`\begin{gathered} A_y=(4*4)/(2) \\ A_y=8 \end{gathered}`

Finally to calculate the total Area add all areas

`\begin{gathered} A_T=A_g+A_r+A_y \\ A_T=(225)/(2)+100+8 \\ \\ A_T=220.5 \end{gathered}`

so, the total area of the polygon is 220.5 square feet