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)
, (4, 4)
, (5, 3)
, and (1, −1)
? Round your answer to the nearest tenth.(1 point)
Responses

14.1 units
14.1 units

8 units
8 units

22.8 units
22.8 units

5.6 units

Answer 1

Order the vertices A(0,0), B(4,4), C(5,3), D(1,−1). Compute side lengths:
AB = √[(4−0)^2+(4−0)^2] = √32 ≈ 5.657,
BC = √[(5−4)^2+(3−4)^2] = √2 ≈ 1.414.
Perimeter = 2(AB + BC) = 2(5.657 + 1.414) = 14.142 ≈ 14.1 units.