QuestionA regular pentagon has a perimeter of $20 \mathrm{~cm}$ . Find the length of one side in $\mathrm{cm}$ .

Studdy Solution

STEP 1

Assumptions1. The shape is a regular pentagon, which means all sides are of equal length. . The perimeter of the pentagon is20 cm.

STEP 2

The perimeter of a polygon is the sum of the lengths of its sides. For a regular pentagon, all sides are of equal length. So, we can find the length of one side by dividing the perimeter by the number of sides.
$Side\, length = Perimeter / Number\, of\, sides$

STEP 3

A pentagon has5 sides, so we plug in the values for the perimeter and the number of sides to calculate the side length.
$Side\, length =20\, cm /5$

STEP 4

Calculate the side length.
$Side\, length =20\, cm / =4\, cm$ The length of one side of the pentagon is4 cm.

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