MATHEMATICS MIDDLE SCHOOL

The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the polygon to the nearest tenth of a unit. Do not label your answer. Answer with a number only.

Answers

Answer 1

Answer:

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}$

step 2

Find the distance AB

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^(2)+(-3+2)^(2)}$

$d=\sqrt{(2)^(2)+(-1)^(2)}$

$d_A_B=√(5)=2.24\ units$

step 3

Find the distance BC

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^(2)+(-1+3)^(2)}$

$d=\sqrt{(2)^(2)+(2)^(2)}$

$d_B_C=√(8)=2.83\ units$

step 4

Find the distance CD

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^(2)+(2+1)^(2)}$

$d=\sqrt{(-1)^(2)+(3)^(2)}$

$d_C_D=√(10)=3.16\ units$

step 5

Find the distance DE

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^(2)+(2-2)^(2)}$

$d=\sqrt{(-3)^(2)+(0)^(2)}$

$d_D_E=√(9)\ units$

$d_D_E=3\ units$

step 6

Find the distance AE

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^(2)+(2+2)^(2)}$

$d=\sqrt{(0)^(2)+(4)^(2)}$

$d_A_E=√(16)\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Also why is the other answer rated at 3 stars when it is clearly correct?

Answer:

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Answers

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

Step 1: Find the GCF

12 → 1, 2, 3, 4, 6, 12

18 → 1, 2, 3, 6, 9, 18

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Step 2: Pull out the GCF

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Answer: $6(2z + 3)$

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Step-by-step explanation:

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Now, you need to divide both numbers by 6 and your equation should look like this:

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