Answer: 85
Explanation:
Writing an Equation
Find the length of each side and add them up to get the total perimeter.
We know that there are 6 sides, AB, BC, CD, DE, EF, and FA
We also know that AB = ED and BC = CD = EF = FA
So the total perimeter would be AB + BC + CD + DE + EF + FA = 2AB + 4BC
Finding length of AB
This line goes from (-2,2) to (2,2) so we can find the length by subtracting the x coordinates since the y coordinates are the same
AB = 2 - (-2) = 4
Finding length of BC
Using the Pythagorean Theorem,
we can find the length of BC
This line goes from (2,2) to (3,0)
The vertical distance (a) is |0-2| = 2
The horizontal distance (b) is |3-2| = 1
So
Total length
Using the equation 2AB + 4BC to find the perimeter we get
=
=
=
Since
is approximately 9, we'll substitute in 9 (assuming we don't have a calculator)
≃ 8 + 9
= 17 units
Converting units
Each unit is 5 yards, so use this ratio get the perimeter in yards
17 units * 5 = 85 yards