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What is The approximate amount

What is The approximate amount-example-1
User Sir Ksilem
by
8.4k points

2 Answers

3 votes

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,
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 = √(5)

Total length

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


(2 * 4) + (4 * √(5) )

=
8 +( √(16) * √(5) )

=
8 + √(16 * 5)

=
8 + √(80)

Since
√(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

User Karan Mehta
by
7.8k points
3 votes

Answer: About 80 yards

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.

User Alexandr Shurigin
by
8.5k points

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