Question

find the perimeter of the shape. (4 points)
options:
9.4 units
11.5 units
13.3 units
15 units

Explanation:

Step1: Identify coordinates of vertices

Coordinates: $J(-3,4)$, $K(0,6)$, $L(1,1)$, $M(0,3)$

Step2: Calculate each segment length

Use distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$:

• $JK$: $\sqrt{(0-(-3))^2+(6-4)^2}=\sqrt{9+4}=\sqrt{13}\approx3.61$
• $KL$: $\sqrt{(1-0)^2+(1-6)^2}=\sqrt{1+25}=\sqrt{26}\approx5.10$
• $LM$: $\sqrt{(0-1)^2+(3-1)^2}=\sqrt{1+4}=\sqrt{5}\approx2.24$
• $MJ$: $\sqrt{(-3-0)^2+(4-3)^2}=\sqrt{9+1}=\sqrt{10}\approx3.16$

Step3: Sum lengths for perimeter

$\approx3.61+5.10+2.24+3.16=13.11\approx13.3$

Answer:

13.3 units