Question

on a coordinate plane, the vertices of a rectangle are (-1, 1), (3, 1), (-1, -4), and (3, -4). what is the perimeter of the rectangle

Answer 1

The perimeter is 18.....i hope i helped you

Answer 2

18 unit

Explanation:

By plotting the given points on the coordinate plane ( shown below )

We get a rectangle.

Suppose ABCD is a rectangle such that,

A≡(-1,1), B≡(3,1), D≡(3,-4) and C≡(-1,-4),

By the distance formula,

`AB=√((3-(-1))^2+(1-1)^2)=√((3+1)^2+0)=√(4^2)=4\text{ unit}`

`BC=√((3-3)^2+(-4-1)^2)=√(0+5^2)=√(5^2)=5\text{ unit}`

∵ Perimeter of a rectangle = 2 ( sum of any two adjacent sides )

Thus, the perimeter of the rectangle ABCD = 2(AB + BC)

= 2(4+5)

= 2(9)

= 18 unit