Answer:
[tex]Area=7yards^2[/tex]Explanation:
We were given the following information:
PART C
The triangular area between points A, B, and D will be decorated with red, white and blue flowers
1/3 of triangle ABD will have red flowers
The area of a triangle is given by:
[tex]\begin{gathered} Area_{triangle}=\frac{1}{2}\times Base\times Height \\ Base=4-(-2)=4+2=6units \\ Height=3-(-4)=3+4=7units \\ Area_{triangle}=\frac{1}{2}\times6\times7 \\ Area_{triangle}=21units^2 \\ 1unit^2=1yards^2 \\ \Rightarrow Area_{triangle}=21yards^2 \\ \\ \therefore Area_{triangle}=21yards^2 \end{gathered}[/tex]The area having red flowers is calculated as shown below:
[tex]\begin{gathered} Area_{red}=\frac{1}{3}\times Area_{triangle} \\ Area_{red}=\frac{1}{3}\times21 \\ Area_{red}=7yards^2 \\ \\ \therefore Area_{red}=7yards^2 \end{gathered}[/tex]Therefore, the area of the triangle that will have red flowers is 7 square yards
