Question

Find the perimeter of the shape below:

Answer 1

C is the answer i think 

Answer 2

Answer:

Therefore the correct option is C.

Step-by-step explanation:

From the given figure it is clear that the coordinates of vertices are J(-3,4), K(-1,6), L(1,1) and M(-1,3).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, find the length of each side.

$JK=\sqrt{\left(-1-\left(-3\right)\right)^2+\left(6-4\right)^2}=\sqrt{8}=2\sqrt{2}$

$KL=\sqrt{\left(1-\left(-1\right)\right)^2+\left(1-6\right)^2}=\sqrt{29}$

$LM=\sqrt{\left(-1-1\right)^2+\left(3-1\right)^2}=\sqrt{8}=2\sqrt{2}$

$MJ=\sqrt{\left(-3-\left(-1\right)\right)^2+\left(4-3\right)^2}=\sqrt{5}$

The perimeter of the given figure is

$Perimeter=JK+KL+LM+MJ$

$Perimeter=2\sqrt{2}+\sqrt{29}+2\sqrt{2}+\sqrt{5}$

$Perimeter=13.278$

$Perimeter\approx 13.3$

The perimeter of the given figure is 13.3 units. Therefore the correct option is C.