Question

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

Answer 1

Length of the longer side of the rectangle is 6 units

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 =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

on substituting the values, we get

distance =
`√((1-1)^2+(7-1)^2)`

or

distance =
`√((0+36)`

or

distance = 6 units

therefore,

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