Question

Find the perimeter of the polygon defined by the coordinates (5, 8), (12, 0), (-5, 0), and (-12, 8). (Round to nearest tenth) A) 53.2 units B) 55.3 units C) 56.3 units D) 57.3 units

Answer 1

Explanation:

Alright, lets get started.

For finding the perimeter, lets first find all sides

Side between point (5,8) and (12,0) is :

`√((12-5)^2+(0-8)^2)`

`√(49+64)`

10.63

side between point (12,0) and (-5,0) is :

`√((-5-12)^2+0) = 17`

Side between point (-5,0) and (-12,8) is :

`√((-12+5)^2+(8-0)^2) = 10.63`

Side between (-12,8) and (5,8) is :

`√((-12-5)^2+(8-8)^2)=17`

So, the perimeter will be addition of all 4 sides

Hence perimeter is =
`10.63+17+10.63+17 = 55.26`

So rounding off to nearest tenth,

the perimeter is 55.3 unit : so the answer is B

Hope it will help :)