Question

Right answer please.

Answer 1

`32 + 8 √(10)`

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 = √(64)`

`d = 8`

Segment KM=

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

`d = \sqrt{ { - 24}^(2) + {8}^(2) }`

`d = √(576 + 64)`

`d = √(640)`

`d = 8 √(10)`

Perimeter = the length of all 3 segments.

`p = 8 + 24 + 8 √(10)`

`p = 32 + 8 √(10)`