coordinate geometry given two points find the area of a square

Question

a (-1,1) b(3,-1) are the end points of one side of the square ABCD. What is the area of the square?

Answer 1

find the distance between the two points using the distance formula

d = √[(-1-3)² + (1+1)²] = √(16 + 4) = √(20)

since these points are the endpoints of one side of the square use the formula for the area of a square

Area = (√20)² = 20 square units