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

Answer:

18 unit

Step-by-step 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,

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

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

∵ 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