Question

PLEASE HELP ME ASAP!!!!! I ATTACHED A PHOTO AND THANK U SO MUCH

Answer 1

Answer:

Step-by-step explanation:

P(-6,-1) , Q(2,-1) ; R( -2 , 4)

Distance = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

$PQ = \sqrt{(2-[-6])^{2}+(-1-[-1])^{2}}\\\\ =\sqrt{(2+6)^{2}+(-1+1)^{2}} \\\\=\sqrt{(8)^{2}+0} \\\\= \sqrt{64}\\\\= 8 units\\\\\\QR = \sqrt{(-2-2)^{2}+(4-[-1])^{2}} \\\\=\sqrt{(-4)^{2}+(4+1)^{2}} \\\\=\sqrt{(-4)^{2}+(5)^{2}} = \sqrt{16+25}\\\\= \sqrt{41}$

$PR= \sqrt{(-2+6)^{2}+(4+1)^{2}} \\\\=\sqrt{(4)^{2}+(5)^{2}}\\\\= \sqrt{16+25}\\\\= \sqrt{41}$

Perimeter = $\sqrt{41} +\sqrt{41}+8$

                  = $2\sqrt{41} +8$

                   = 2 *6.4 + 8

                   = 12.8+8

                    = 20.8 units