Question

Suppose a rectangle is drawn on a coordinate plane. What is the perimeter of the rectangle if its vertices are at coordinates (0, 0)
(
0
,

0
)
, (4, 4)
(
4
,

4
)
, (5, 3)
(
5
,

3
)
, and (1, −1)
(
1
,

−
1
)
? Round your answer to the nearest tenth.(1 point)
Responses

14.1 units
14.1 units

8 units
8 units

5.6 units
5.6 units

22.8 units
22.8 units

Answer 1

Perimeter = 2*(side1 + side2). Adjacent side vectors are (4,4) and (1,−1), so lengths are 4√2 and √2. Perimeter = 2*(4√2 + √2) = 10√2 ≈ 14.142 → 14.1 units.