1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelechka [254]
3 years ago
12

The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).

Mathematics
2 answers:
Dovator [93]3 years ago
8 0

The perimeter of the polygon to the nearest tenth of a unit  \boxed{16.9{\text{ units}}}. Option (b) is correct.

Further explanation:

The distance between the two points can be calculated as follows,

\boxed{{\text{Distance}}=\sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}}}

Given:

The coordinates of the vertices of the polygon are \left({ - 2, - 2}\right),\left( {3, - 3}\right),\left( {4, - 6}\right),\left( {1, - 6}\right) and \left( { - 2, - 4}\right).

Explanation:

Consider the points as A \left( { - 2, - 2} \right), B\left( {3, - 3} \right), C\left( {4, - 6} \right), D\left( {1, - 6} \right) and  E\left({ - 2, - 4} \right).

The distance between point A and point B can be calculated as follows,

\begin{aligned}{\text{Distance}}&=\sqrt {{{\left( {3 + 2} \right)}^2} + {{\left( { - 3 + 2}\right)}^2}}\\ &= \sqrt {25 + 1}\\&= \sqrt {26}\\&= 5.2\\\end{aligned}

The distance between point B and point C can be calculated as follows,

\begin{aligned}{\text{Distance}}&=\sqrt {{{\left( {4 - 3} \right)}^2} + {{\left( { - 6 + 3} \right)}^2}}\\&= \sqrt {{1^2} + 9}\\&= \sqrt {10}\\&= 3.17\\\end{aligned}

The distance between point C and point D can be calculated as follows,

\begin{aligned}{\text{Distance}}&= \sqrt {{{\left({1 - 4} \right)}^2} + {{\left( { - 6 + 6}\right)}^2}}  \\&=\sqrt {{3^2} + 0}\\&= \sqrt9\\&= 3\\\end{aligned}

The distance between point D and point E can be calculated as follows,

\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 2 - 1}\right)}^2} + {{\left( { - 4 + 6}\right)}^2}}\\&= \sqrt{ - {3^2} + {2^2}}\\&= \sqrt {9 + 4}\\&= \sqrt {13}\\&= 3.61\\\end{aligned}

The distance between point E and point A can be calculated as follows,

\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 2 + 2} \right)}^2} + {{\left( { - 4 + 2} \right)}^2}}\\ &= \sqrt {{0^2} + {2^2}}\\&=\sqrt4\\&= 2\\\end{aligned}

The perimeter of the polygon can be calculated as follows,

\begin{aligned}{\text{Perimeter}}&= 5.12 + 3.17 + 3 + 3.61 + 2\\&= 16.9\\\end{aligned}

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

The perimeter of the polygon to the nearest tenth of a unit \boxed{16.9{\text{ units}}}. Option (b) is correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Coordinates, vertices, polygon, x-coordinate, y-coordinate, perimeter, circumference, nearest tenth unit, distance formula.

krek1111 [17]3 years ago
5 0
The perimeter of the polygon is 17.5
You might be interested in
What is equivalent to 2/4
padilas [110]
1/2, 4/8, etc. Because they all equal to one half. <span />
8 0
3 years ago
Read 2 more answers
The fourth grade wants to observe Martin Luther king day. They can show a video about his life or have a guest speaker. They can
nalin [4]
The anwser is 6 possible combinations.

8 0
3 years ago
40 POINTS!!!!!!!! NEED HELP
aniked [119]
Where is the grid are u gonna take a pic?
6 0
2 years ago
Help me please. This is due at 12 tonight
allochka39001 [22]
I think the answer is c
6 0
3 years ago
Read 2 more answers
Simplify square roots (variables) please show work ;)
7nadin3 [17]

Answer:

3x^{3} \sqrt{6x}

Step-by-step explanation:

\sqrt{57x^{7} }

\sqrt{3^{2}*6x^{2} * x  }

\sqrt{3x^{2} }\sqrt{x^{6} }\sqrt{6x}

3x^{3} \sqrt{6x}

5 0
3 years ago
Other questions:
  • If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w
    13·1 answer
  • brllie rides her bike 176.25 miles in three weeks. she averaged 11.75 miles per hour each tim she ride. hiw many hours did it ta
    15·1 answer
  • Please help ** revised version ** will give 13 points
    5·1 answer
  • Rico eats trail mix containing 1000 calories how many grams of trail mix does he eat
    11·1 answer
  • PLEASE HELP ASAP!!! ILL MARK BRAINLIEST!!
    14·2 answers
  • What’s the equation for this
    11·1 answer
  • The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52 m^2. Find the dimensions of the
    5·1 answer
  • Decide which project the most profitable is by:
    5·1 answer
  • Dave and ryan share some money in the ratio 7 : 4 . dave got $28, how much did ryan get?
    11·2 answers
  • jackie has been averaging 3 hits for every 10 times at bat. What is the probability that she will get eactly 2 hits in her net 5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!