Question

if a regular decagonal field is fenced with a 2250 cm wire mesh show the length of each side in meters

Answer 1

Given:

If a regular decagonal field is fenced with a 2250 cm wire mesh

To find:

The length of each side in meters

Solution:

Let "a" cm represent each side of the decagonal field.

Here it is given that the decagonal field is fenced with a wire mesh of 2250 cm all around it which means that we are given the perimeter of the decagonal field as 2250 cm.

Also, the formula of the perimeter of the decagonal field is given as,

$\boxed{\boxed{\bold{Perimeter = 10 \: a}}}$

Therefore, we get

10 a = 2250

⇒ $a = \frac{2250}{10}$

⇒ $a = 225 \: cm$

Now, we have to convert the length of the side in meters, so

If $1\: cm = \frac{1}{100} \: m$

Then $225\:cm = \frac{225}{100} \:m= \bold{2.25\: m}$

Thus, the length of each side in meters is 2.25 m.

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Answer 2

Length of each side of the decagonal = 2.25 m.

Step-by-step explanation:

Given: 2250 cm wire used to fence a decagonal.

Find: Length of each side in meters.

Solution:

A decagon is a ten-sided polygon.

Length of fence = circumference of decagonal.

Circumference = 2250 = 10a where a is the length of each side.

So each side = 2250 / 10 = 225 cm.

Length of each side of the decagonal = 225 cm = 225/100 m = 2.25 m.