Chapter 4.2, Problem 5E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end.

a) If these are joined at the ends to form a quadrilateral that has the 8-ft pieces connected in over, what type of quadrilateral is formed?

b) If these are joined at the ends to form a quadrilateral that has the 4-ft and 8-ft pieces alternating, what type of quadrilateral is formed?

To determine

a)

The type of the quadrilateral formed.

Explanation

Given,

The lengths of the lay out boards are 8 ft, 8 ft, 4 ft and 4 ft.

A quadrilateral is formed by joining 8 ft pieces connected in order, so that the ends are joined.

Thus the obtained quadrilateral must be of the shape

Here, in the above figure the pairs of the adjacent sides are congruent...

To determine

b)

The type of the quadrilateral formed.

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