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What is the perimeter of RSTV to the nearest hundred

What is the perimeter of RSTV to the nearest hundred-example-1
User Jamisha
by
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1 Answer

6 votes

Answer:

The perimeter of the square is;


17.89

Step-by-step explanation:

Given the square RSTV with the coordinates given the question.


R(-1,5),S(-3,1),T(-7,3)\text{ and V(-5,7)}

Let us find the length of the sides of the square.

Using the formula for distance between two points;


\begin{gathered} l=RS=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ l=RS=\sqrt[]{(1_{}-5)^2+(-3_{}-(-1)_{})^2} \\ l=RS=\sqrt[]{(-4_{})^2+(-2)^2} \\ l=RS=\sqrt[]{20} \\ l=RS=2\sqrt[]{5} \end{gathered}

Recall that the perimeter of a square can be calculated using the formula;


\begin{gathered} P=4l \\ P=4(2\sqrt[]{5}) \\ P=8\sqrt[]{5} \\ P=17.89 \end{gathered}

Therefore, the perimeter of the square is;


17.89

User Matthew Johnston
by
7.7k points

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