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
sveticcg [70]
3 years ago
11

Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

You might be interested in
What is the length of XPY in terms of pi?
Elis [28]
Circumference of a circle = 2πr

Circumference of the whole circle= 2π(30) = 60π

360 - 90 = 270 

Length XPY = 270/360 x 60π = 45π

Answer: 45π m
5 0
3 years ago
Read 2 more answers
15 POINTS
ziro4ka [17]

Answer:

whos mad im not mad you mad PERIOD

Step-by-step explanation:

4 0
2 years ago
Please answer this math questions ASAP thanks the picture is attached !!
zepelin [54]

Answer:

The answer is C

Step-by-step explanation:

Both f(x) and g(x) have a domain of [0,infinite). and a range of [0, infinite).

5 0
3 years ago
Read 2 more answers
Christian reads 14 book every 23 week.<br><br> How many books does Christian read per week?
gulaghasi [49]
14/23=0.61
He reads a bit over half a book per week
4 0
2 years ago
Explain how you know whether to add or subtract when you use the distributive property to multiply
cricket20 [7]
Think about it this way:

26 * 19 = ?
(26 + 10) x (26 + 9)
Hope this helps

4 0
3 years ago
Other questions:
  • 0.25 r – 0.125 + 0.5 r = 0.5 + r
    11·1 answer
  • Suppose 2 circles are constructed. Under what conditions do the circles have 1 point in common, 2 points in common, no points in
    13·1 answer
  • Can anyone tell me the answer please ??
    15·1 answer
  • Martin is asked to find the probability of getting 1 head and 3 tails on 4 coin tosses. This is a simple event
    15·1 answer
  • I want a correct answer you can take your time. If I was born on December 24, two thousand and four ( 24 / 12 / 2004 ) and my cl
    11·1 answer
  • Solve each equation by taking square roots NEED FHIS ANSWER ASAP ILL GIVE BRAINLIEST
    15·1 answer
  • tony's bike tire has a radius of 18 inches.what is the distance covered by the tire in inches after 5 rotations?
    14·1 answer
  • Please help !!<br><br> find the volume
    10·1 answer
  • A bowl contains 7 marbles of various colors consisting of green, brown, and red.
    14·1 answer
  • F(x) = 2x-5<br> Complete the function table.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!