The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3), and V(-5,7). What is the perimeter of RSTV?
Accepted Solution
A:
The perimeter of square RSTV is: 17.88 unitsFurther explanation:As the given figure is a square, all of its sides will be equal. So we have to find one side to find the perimeter.GivenR(-1,5), S(-3,1), T(-7,3), and V(-5,7)The distance formula will be used to find the side[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^@}[/tex]Let x be one side of square[tex]RS=x=\sqrt{(-3-(-1))^2+(1-5)^2}\\=\sqrt{-3+1)^2+(-4)^2}\\=\sqrt(-2)^2+(-4)^2}\\=\sqrt{4+16}\\=\sqrt{20}\\=4.47[/tex]Let P be the perimeter of squareP= 4xP=4*4.47=17.88 unitsThe perimeter of square RSTV is: 17.88 unitsKeywords: Perimeter, Distance FormulaLearn more about perimeter at:brainly.com/question/13219835brainly.com/question/1836777#LearnwithBrainly