contestada

Find the area of the polygon with the given vertices.

N(−2, 1), P(3, 1), Q(3,−1), R(−2,−1)

Respuesta :

Answer:

A= 10

Step-by-step explanation:

use the distance formula [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] to find the side lengths of the polygon

[tex]NP=\sqrt{(3+2)^2+(1-1)^2}=5\\PQ= \sqrt{(3-3)^2+(1+1)^2} =2\\QR= \sqrt{(-2-3)^2+(-1+1)^2} =5\\RN= \sqrt{(-2+2)^2+(-1-1)^2}=2[/tex]

next, since the area is just length x width you multiply 5 x 2 =10