Chapter 5.2, Problem 40E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*For Exercises 39 to 40, use intuition to from a proportion based on the drawing shown.*

A square with sides of length

To determine

**To calculate:**

The perimeter of trapezoid ABCD

Explanation

**Given:**

A square with sides of length

**Definition Used:**

Segment-Addition Postulate:

If

Square:

It is a four sides of regular polygon where all sides are equal and all the internal angle equal to

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

Pythagoras Theorem:

It states that sum of the length of the two sides is equal to the square of the length of the hypotenuse (longest sides).

Perimeter of Polygon:

It is the total distance around the outside of a polygon.

**Calculation:**

According to the segment-Addition Postulate,

Let us assume that

It is given that

According to the property of a square, we can say that

Substitute the value of

By the condition of two similar polygon,

So,

So,

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Single Variable Calculus: Early Transcendentals, Volume I

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