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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}

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Step-by-step explanation:

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Answer:

x>3

Step-by-step explanation:

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adding 10 and 4x on both hand sides we get

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3 years ago
The city bus station runs buses every 15 minutes. Find the probability that a passenger who arrives at a random time will not ha
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3 years ago
132<br> 48<br> 19<br> 21 ... please help!!! doing a quiz it’s timed
Citrus2011 [14]

Answer:

21°

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set it up

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divide both sides by 10

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(Incase you need it the other angle is 159°)

5 0
3 years ago
Read 2 more answers
Which equation can be used to find the value of x?​
9966 [12]

Answer: D

Step-by-step explanation:

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