106k views
1 vote
Find the approximate perimeter of quadrilateral PYRO plotted below round your final answer to the nearest hundredth

Find the approximate perimeter of quadrilateral PYRO plotted below round your final-example-1

2 Answers

3 votes

Answer:

PYRO is 26.39

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

User Snubber
by
7.7k points
3 votes

Answer:

The perimeter of the figure is 46.3 units, approximately.

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)=√(64+9)=√(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)} =√(16+81)\\ d_(PY) =√(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)} =√(16+9)\\ d_(PY) =√(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.

User Sweeeeeet
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.