Question

Suppose a parallelogram is drawn on a coordinate plane. Using vertices with the coordinates (0,0)
(
0
,
0
)
, (1,4)
(
1
,
4
)
, (5,2)
(
5
,
2
)
, and (4,−2)
(
4
,
−
2
)
, compute the perimeter. Round your answer to the nearest tenth.(1 point)
Responses

20.5
20.5

17
17

16
16

17.2

Answer 1

Place the vertices in order: (0,0) → (1,4) → (5,2) → (4,−2) → back to (0,0).

Side lengths:
- between (0,0) and (1,4): sqrt(1^2+4^2)=sqrt(17) ≈ 4.1231
- between (1,4) and (5,2): sqrt(4^2+(-2)^2)=sqrt(20) ≈ 4.4721

Perimeter = 2(√17 + √20) ≈ 2(4.1231 + 4.4721) ≈ 17.1905 ≈ 17.2.