Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

(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.

Sagot :

we must divide the figure on parts

we have 3 areas

firts will calculate the green triangle

the formula is

[tex]A_g=\frac{b\times h}{2}[/tex]

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

so replacing

[tex]\begin{gathered} A_g=\frac{15\times15}{2} \\ \\ A_g=\frac{225}{2} \end{gathered}[/tex]

Second will calculate the red rectange

the formula is

[tex]A_r=b\times h[/tex]

where the height 25 and the base 4

[tex]\begin{gathered} A_r=25\times4 \\ A_r=100 \end{gathered}[/tex]

Third will calculate the yellog triangle

th formula is

[tex]A_y=\frac{b\times h}{2}[/tex]

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

[tex]\begin{gathered} A_y=\frac{4\times4}{2} \\ A_y=8 \end{gathered}[/tex]

Finally to calculate the total Area add all areas

[tex]\begin{gathered} A_T=A_g+A_r+A_y \\ A_T=\frac{225}{2}+100+8 \\ \\ A_T=220.5 \end{gathered}[/tex]

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

View image SammanthaH614830
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.