Pre Cal Problem

Question

Suppose two adjacent endpoints of a rotated square are located at (-3,-7) and (1,-3) on the coordinate axes.

 

a. What is the length of the side of the square?

 

b. What is the area of the square?

Answer 1

Use the distance formula to find the distance between the two points:

 

d = √((y₂-y₁)²+(x₂-x₁)²)

 

(x₁,y₁) = (-3,-7)

(x₂,y₂) = (1,-3)

 

Plug the points into the distance formula above and compute the distance, d, which is the length of a side.  The area = d².