Chapter 7.3, Problem 12E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

If the apothem of a square measures 5 cm, find the perimeter of the square.

To determine

**To find:**

The perimeter of the square.

Explanation

**Approach:**

1) Any radius of a regular polygon bisects the angle at the vertex to which it is drawn.

2) Any apothem of a regular polygon bisects the side of the polygon to which it is drawn.

3) The perimeter of a regular polygon is given by *ns*, where *n* is the number of sides and *s* is the length of any side.

**Calculation:**

Consider a square *ABCD* with *OA* as radius and *OE* as apothem.

It is given that the length of apothem is 5 cm i.e., *OE* = 5cm.

All the angles of a square are of 90Â° i.e.,

Any radius of a regular polygon bisects the angle at the vertex to which it is drawn

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