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

( ) 5.6 units

( ) 8 units

( ) 22.8 units

Answer 1

Compute two adjacent side lengths: AB = distance from (0,0) to (4,4) = sqrt(4^2+4^2) = 4√2 ≈ 5.6569, BC = distance from (4,4) to (5,3) = sqrt(1^2+(-1)^2) = √2 ≈ 1.4142. Perimeter = 2(4√2 + √2) = 10√2 ≈ 14.1421, which rounds to 14.1 units.

Answer: 14.1 units.