Question

MAFS.6.G.1.3A designer wants to create a fountain with a base shaped like a hexagon. Use the grid andinformation to answer the questions below.Vertices P and Q of hexagon PQRSTU are shown on the grid.PQ121110987664321Smart20o1 2 3 4 5 6 7 8 9 10 11 12PART A: What is the length of side PQ inunits?PART B: If each side of the fountain is thesame length, what is the perimeter of thefountain? Show your work or explain youranswer in the box below.

Answer 1

Step 1

Find the length of the side PQ

`\begin{gathered} The\text{ coordinate of the point P is \lparen3,10\rparen} \\ The\text{ coordinate of the point Q is \lparen8,10\rparen} \end{gathered}`

Step 2

Find the length of PQ

`\begin{gathered} Distance\text{ between two points} \\ D=√((x_2-x_1)^2+(y_2-y_1)^2) \\ PQ=√((8-3)^2+(10-10)^2) \\ PQ=√(25)=5 \end{gathered}`

Step 3

Part B

Draw the fountain since all sides are of the same length. A Hexagon has 6 sides. Therefore the perimeter will be;

`\begin{gathered} 5+5+5+5+5+5=30 \\ or \\ 6*5=30 \end{gathered}`

Answer;

`Perimeter=30\text{ units}`