Question

Find the area of the polygon with the given vertices.

N(−2, 1), P(3, 1), Q(3,−1), R(−2,−1)

Answer 1

A= 10

Explanation:

use the distance formula
`√((x_2-x_1)^2+(y_2-y_1)^2)` to find the side lengths of the polygon

`NP=√((3+2)^2+(1-1)^2)=5\\PQ= √((3-3)^2+(1+1)^2) =2\\QR= √((-2-3)^2+(-1+1)^2) =5\\RN= √((-2+2)^2+(-1-1)^2)=2`

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