Question

What is the perimeter of square HIJK?

104
-10 -8
-6
-4
K
-2
8
units
6
4
2
0
-2
-4
-6
-8
A
H
lot
6
8
-10
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Perimeter =>

Answer 1

well, we know is a square, so that means all sides are equal, so if we just find one side and multiply it by 4, that's our perimeter, hmmmm let's use the points of K(-2 , 0) and J(3 , 5)

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad J(\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ KJ=√((~~3 - (-2)~~)^2 + (~~5 - 0~~)^2) \implies KJ=√((3 +2)^2 + (5 -0)^2) \\\\\\ KJ=√(( 5 )^2 + ( 5 )^2) \implies KJ=√( 25 + 25 ) \implies KJ=√( 50 ) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE perimeter} }{4√(50) ~~ \approx ~~ }\text{\LARGE 28.3}`