Question

Find the approximate perimeter of quadrilateral PYRO plotted below round your final answer to the nearest hundredth

Answer 1

Answer:

The perimeter of the figure is 46.3 units, approximately.

Step-by-step explanation:

To find the perimeter of this figure, we need to use the formula

$d=\sqrt{(y_{2} -y_{1} )^{2} +(x_{2}-x_{1} )^{2} }$, which gives the distance between two points.

Distance of PO.

$P(-3,2)$ and $O(0,-6)$.

Using the formula, we have

$d_{PO}=\sqrt{(-6-2)^{2}+(0-(-3))^{2} } =\sqrt{(-8)^{2}+(3)^{2} }\\ d_{PO}=\sqrt{64+9}=\sqrt{73} \approx 8.5$

The distance from P to O is around 8.5 units.

Distance of PY.

$P(-3,2)$ and $Y(6,-2)$.

$d_{PY} =\sqrt{(-2-2)^{2}+(6-(-3))^{2} }=\sqrt{(-4)^{2}+(9)^{2}} =\sqrt{16+81}\\ d_{PY} =\sqrt{97} \approx 9.8$

The distance from P to Y is around 9.8 units.

Distance of YR.

$Y(6,-2)$ and $R(3,-6)$

$d_{YR} =\sqrt{(-6-(-2))^{2}+(3-6)^{2} }=\sqrt{(-4)^{2}+(-3)^{2}} =\sqrt{16+9}\\ d_{PY} =\sqrt{25} = 5$

The distance from Y to R is 25 units.

Distance of OR.

This is an horizontal side, we don't need to use the formula. The distance from O to R is 3 units.

Now, the perimeter is the sum of all sides.

$P \approx 8.5+9.8+25+3 \approx 46.3$

Therefore, the perimeter of the figure is 46.3 units, approximately.

Answer 2

Answer:

PYRO is 26.39

Step-by-step explanation:khan academy said it trust me it right your welcome.