Question

What is The approximate amount

Answer 1

Answer: About 80 yards

Step-by-step explanation:

From A to B =20 yards (same for E and D) right there you already have 40 yards. Every 2 units 10 yards. F to A is the same length of half of A (10 yards). If you add them all together the perimeter is about 80 yards.

Answer 2

Answer: 85

Step-by-step 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, $a^{2} +b^{2} =BC^{2}$ 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 $2^{2} +1^{2} =BC^{2}$

$BC^{2} = 5$

$BC = \sqrt{5}$

Total length

Using the equation 2AB + 4BC to find the perimeter we get

$(2 * 4) + (4 * \sqrt{5} )$

= $8 +( \sqrt{16} * \sqrt{5} )$

= $8 + \sqrt{16 * 5}$

= $8 + \sqrt{80}$

Since $\sqrt{80}$ 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