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3 years ago

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?

Mathematics

1 answer:

kompoz [17]3 years ago

6 0

The perimeter of square RSTV is: 17.88 units

Further 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.

Given

R(-1,5), S(-3,1), T(-7,3), and V(-5,7)

The distance formula will be used to find the side

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^@}$

Let x be one side of square

$RS=x=\sqrt{(-3-(-1))^2+(1-5)^2}\\=\sqrt{-3+1)^2+(-4)^2}\\=\sqrt(-2)^2+(-4)^2}\\=\sqrt{4+16}\\=\sqrt{20}\\=4.47$

Let P be the perimeter of square

P= 4x

P=4*4.47

=17.88 units

The perimeter of square RSTV is: 17.88 units

Keywords: Perimeter, Distance Formula

Learn more about perimeter at:

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