Find Perimeter of Square PINT with Vertices N(4,2) and T(3,8) | Coordinate Geometry

Question

Square PINT has vertices N(4,2) and T(3,8). What is the perimeter of Square PINT?

Accepted Answer

B. 24.33 square units

Answer

Step 1: Calculate the length of side NT using the distance formula: $NT = \sqrt{(3-4)^2 + (8-2)^2} = \sqrt{1+36}=\sqrt{37}≈6.08$ units Step 2: A square has 4 equal sides, so perimeter = 4 * side length Step 3: Calculate perimeter: $4*6.08≈24.32$, which rounds to 24.33 units, matching option B