Answer:
Length of the longer side of the rectangle is 6 units
Step-by-step explanation:
Given:
coordinates of rectangle as:
(1, 1), (3,1), (3,7), and (1, 7)
on plotting the points on the graph, we get the longer side between the points (1, 1) and (1, 7)
NOTE: Graph is attached with the solution
Now,
the distance between two points is given as:
distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
on substituting the values, we get
distance = [tex]\sqrt{(1-1)^2+(7-1)^2}[/tex]
or
distance = [tex]\sqrt{(0+36}[/tex]
or
distance = 6 units
therefore,
the length of the longer side of the rectangle is 6 units
