How to find the length of the side of a pentagon

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Math › How to find the length of the side of a pentagon

Questions 1 - 3

1

Find the length of the side of the following pentagon.

Angle_length_of_side_pentagon

The perimeter of the pentagon is $20\ m$ .

$4\ m$

$5\ m$

$7\ m$

$3\ m$

$9\ m$

Explanation

The formula for the perimeter of a regular pentagon is

,

where represents the length of the side.

Plugging in our values, we get:

$20\ m = 5(s)$

$s=4\ m$

2

What is the side length of a regular pentagon with a perimeter of ?

Explanation

To find the side length of a regular pentagon with a perimeter of you must use the equation for the perimeter of a pentagon.

The equation is

Plug in the numbers for perimeter and number of sides to get

Divide each side of the equation by the number of sides to get the answer for the side length. $\frac{80}{5}=\frac{(side: length)*(5)}{5}$

The answer is $\frac{80}{5}=16$ .

3

Find the length of the side of the following pentagon.

Angle_length_of_side_pentagon

The perimeter of the pentagon is $30\ m$ .

$6\ m$

$5\ m$

$4\ m$

$7\ m$

$8\ m$

Explanation

The formula for the perimeter of a regular pentagon is

,

where represents the length of the side.

Plugging in our values, we get:

$30\ m=5(s)$

$s=6\ m$

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