Question

Brendan created a connect-the-dots puzzle in the shape of a square for his little brother. He plotted dotson a coordinate plane at (2, 3), (7, 3), (7, -2), and (2, -2). How many units long is one side of Brendan'sconnect-the-dots puzzle? If needed, create a graph to help answer the question.

Answer 1

Solution

From the graph

Alternatively

We can use distance between two point

$\begin{gathered} D=\sqrt[]{(x_2-x_1)+(y_2-y_1)^2} \\ we\text{ can use any of the two coordinates} \\ (2,3)\text{ ,(7,3)} \\ x_1=2 \\ x_2=7 \\ y_1=3 \\ y_2=3 \\ D=\sqrt[]{(7-2)^2+(3-3)^2} \\ \\ D=\sqrt[]{(7-2)^2+0} \\ D=\sqrt[]{(5^2+0} \\ D=\sqrt[]{(5^2} \\ D=5 \end{gathered}$

The final answer

5 units units long is one side of Brendan's connect-the-dots puzzle