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)^@}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E%40%7D)
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](https://tex.z-dn.net/?f=RS%3Dx%3D%5Csqrt%7B%28-3-%28-1%29%29%5E2%2B%281-5%29%5E2%7D%5C%5C%3D%5Csqrt%7B-3%2B1%29%5E2%2B%28-4%29%5E2%7D%5C%5C%3D%5Csqrt%28-2%29%5E2%2B%28-4%29%5E2%7D%5C%5C%3D%5Csqrt%7B4%2B16%7D%5C%5C%3D%5Csqrt%7B20%7D%5C%5C%3D4.47)
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
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