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
dimaraw [331]
3 years ago
12

Find the area of an octagon whose perimeter is 120 cm.

Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 cm^{2}

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

P=8a

and the area of an Octagon is given by

A=2a^{2}(1+\sqrt{2})

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15

Now, we calculate the area

A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}

You might be interested in
Please someone help me...need answer but also need understanding if you can PLEASEE
alexdok [17]
20 cups of 10 oz each it's 200 oz
1 gallon it's 4(32)=128 oz
2 gallons is 256 oz. she will need to buy two gallons
7 0
3 years ago
Help Me For Number 5 Through 8
lakkis [162]
#7 is kind of hard to read
8 0
3 years ago
Read 2 more answers
I need help on number 6 please
Gennadij [26K]

Answer:

The full answer is in the media.Good luck!

3 0
3 years ago
Find the value of each variable in the parallelogram
Anarel [89]

Answer:

x = 9

y = 15

Step-by-step explanation:

x = 9

y = 15

I'm not sure how to explain this, but one side is equal to its opposite side in a parallelogram.

Hope this helps :)

5 0
2 years ago
Given that y is inversely as x+3 and that y=4 when x =2 (a)express y in terms of x (b)find the value of y when x =5 .
myrzilka [38]

a. Expressing y in terms of x, y = 20/(x + 3)

b. When x = 5, the value of y is 2.5

The question has to do with inverse variation.

<h3>What is inverse variation?</h3>

Inverse variation is variation in which one quantity varies inversely as the other.

<h3>a. How to express y in terms of x?</h3>

Given that y is inversely as x + 3 and that y = 4 when x = 2.

Since y varies inversely as x + 3, we have

y ∝ 1/(x + 3)

y = k/(x + 3)

When y = 4, x = 3. So

y = k/(x + 3)

4 = k/(2 + 3)

4 = k/5

k = 4 × 5

k = 20

So, y = k/(x + 3)

y = 20/(x + 3)

So, expressing y in terms of x, y = 20/(x + 3)

<h3>b. Find the value of y when x = 5.</h3>

Since  y = 20/(x + 3)

Substituting x = 5 into the equation, we have

y = 20/(x + 3)

y = 20/(5 + 3)

y = 20/8

y = 5/2

y = 2.5

So, when x = 5, the value of y is 2.5

Learn more about inverse variation here:

brainly.com/question/27887206

#SPJ1

4 0
2 years ago
Other questions:
  • Jacob obtained a 15-year, $245,900 for his new vacation home. The interest rate is 5.5% and his monthly payment is $2,009.21. Fo
    5·1 answer
  • Members of the Wide Water Club pay $105 per summer season, plus $9.50 each they rent a boat. Nonmembers must pay $14.75 each tim
    9·1 answer
  • Segment BD is an altitude of triangle ABC. Find the area of the triangle.
    8·2 answers
  • Find equation of a line through 5 -3 that is parallel to y=1/2x+3
    5·1 answer
  • -3 = 12y - 5(y-7)<br> How to do it
    11·2 answers
  • A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home or
    12·1 answer
  • The perimeter of a rectangle is 48 inches. The length of the rectangle is 3 times the width of the rectangle. What is the area o
    7·1 answer
  • Exercise 2
    9·1 answer
  • Find the perimeter of the rectangle, in feet.
    13·2 answers
  • I need help plssss..
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!