224k views
0 votes
Graph the points in the figure below, and find the perimeter of each shape. Round to the nearest tenth if necessary. (1,-4), (3,-4), (4, -3), (1, -2)

User Yarrow
by
8.2k points

1 Answer

4 votes

graphing

to find the perimeter we need the measure of each side

we can use the formula to find the distance


d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}

where (x1,y1) and (x2,y2) are the coordinates of each point

Side AB


\begin{gathered} \sqrt[]{(1-4)^2+((-2)-(-3))^2} \\ \\ \sqrt[]{-3^2+1^2} \\ \\ AB=\sqrt[]{10} \end{gathered}

Side BC


\begin{gathered} \sqrt[]{(4-3)^2+((-3)-(-4))^2} \\ \\ \sqrt[]{1^2+1^2} \\ \\ BC=\sqrt[]{2} \end{gathered}

Side CD


\begin{gathered} \sqrt[]{(3-1)^2+((-4)-(-4))^2} \\ \\ \sqrt[]{2^2+0^2} \\ \\ CD=2 \end{gathered}

Side DA


\begin{gathered} \sqrt[]{(1-1)^2+((-4)-(-2))^2} \\ \\ \sqrt[]{0^2+(-2)^2} \\ \\ DA=2 \end{gathered}

now, sum the sides


\begin{gathered} P=AB+BC+CD+DA \\ P=\sqrt[]{10}+\sqrt[]{2}+2+2 \\ P=8.576 \end{gathered}

rounding the perimeter is 8.6 units

Graph the points in the figure below, and find the perimeter of each shape. Round-example-1
User Notrace
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories