Chapter 10.2, Problem 47E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Pentagon ABCDE has vertices

To determine

**To find:**

An expression for the area of Pentagon

Explanation

The pentagon

Mark the vertex

The vertex

The vertex

The vertex

Finally the vertex

By joining these points, a pentagon is formed.

The area of pentagon can be calculated by finding the area of two trapezium and the area of triangle thus formed inside the pentagon.

This can be obtained by drawing the line from the vertex

The two trapezium are

The triangle thus formed is

Area of trapezium

Base 1 and base 2 are the length of the two lines which are parallel.

Height is the distance between the two parallel lines.

Consider

Base 1

Base 2

Height

Area of trapezium

Consider

Base 1

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