Question

Find the perimeter of the polygon with the given vertices Round your answer to the nearest hundredth ​

Answer 1

16.93 units

Explanation:

Length of a segment having extreme ends
`(x_1,y_1)` and
`(x_2,y_2)` is given by the formula,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

ML =
`√((4-1)^2+(0-4)^2)`

= 5 units

LP =
`√((1+1)^2+(4+2)^2)`

=
`√(40)` ≈ 6.32 units

PN =
`√((-1-2)^2+(-2-0)^2)`

=
`√(13)`

≈ 3.61 units

NM =
`√((4-2)^2+(0)^2)`

= 2 units

Perimeter of the polygon MLPN = ML + LP + PN + NM

= 5 + 6.32 + 3.61 + 2

= 16.93 units