Question

Right answer please.

Answer 1

Answer:

$32 + 8 \sqrt{10}$

Step-by-step explanation:

Segment XM= 24

d=

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

$d = \sqrt{(24 - 0) ^{2} + ( - 3 + ( - 3)) {2}^{?} }$

$d = \sqrt{24 ^{2} + 0 ^{2} }$

$d = 24$

Segment XK=8

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

$d = \sqrt{(0 - 0) ^{2} + (5 - ( - 3))^{2} }$

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

$d = \sqrt{64}$

$d = 8$

Segment KM=

$d = \sqrt{ {(0 - 24)}^{2} + {(5 - ( - 3))}^{2} }$

$d = \sqrt{ { - 24}^{2} + {8}^{2} }$

$d = \sqrt{576 + 64}$

$d = \sqrt{640}$

$d = 8 \sqrt{10}$

Perimeter = the length of all 3 segments.

$p = 8 + 24 + 8 \sqrt{10}$

$p = 32 + 8 \sqrt{10}$