Use the distance formula to find the length of the longer side of the rectangle whose vertices are (1, 1), (3,,7), and (1, 7).

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 =

on substituting the values, we get

distance =

or

distance =

or

distance = 6 units

therefore,

the length of the longer side of the rectangle is 6 units

the answer is a if my teacher taught me correct