Question

Please help

Answer 1

Answer:

22.43 units

Step-by-step explanation:

we know that

The perimeter of a polygon is the sum of its length sides

the formula to calculate the distance between two points is equal to

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

we have

u(-2,4),v(3,4) and w(3,-4)

step 1

Find the distance uv

substitute the values

$d=\sqrt{(4-4)^{2}+(3+2)^{2}}$

$d=\sqrt{(0)^{2}+(5)^{2}}$

$uv=5\ units$

step 2

Find the distance vw

substitute the values

$d=\sqrt{(-4-4)^{2}+(3-3)^{2}}$

$d=\sqrt{(-8)^{2}+(0)^{2}}$

$vw=8\ units$

step 3

Find the distance uw

substitute the values

$d=\sqrt{(-4-4)^{2}+(3+2)^{2}}$

$d=\sqrt{(-8)^{2}+(5)^{2}}$

$uw=\sqrt{89}=9.43\ units$

step 4

Find the perimeter

$P=uv+vw+uw=5+8+9.43=22.43\ units$