Question

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:

A(5,5), B(7,5), C(7,-1), and D(5, -1).
Given these coordinates, what is the length of side BC of this rectangle?
units

Answer 1

The length of the side BC is 6 units

Explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We need to calculate the distance between B(7,5) and C(7,-1):

`d=√((7-7)^2+(5+1)^2)`

`d=√(36)`

d=6

The length of the side BC is 6 units