Chapter 4.4, Problem 24E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340 miles on the north, 515 miles on the east, 435 miles on the south and 225 miles on the west. If A and B are points located midway across the north and south boundaries, what is the approximate distance from A to B?

To determine

To Find:

The distance from the point A to B in Nevada state.

Explanation

In the given problem, the west and east sides are parallel.

It forms the bases of the trapezoid.

The mid points A and B on north and south acts like a median of the trapezoid.

Therefore, to find the distance from A to B, find the median of the trapezoid.

It is given that the dimension of west and east (bases of trapezoid) are 225 miles and 515 miles.

We know that, the length of the median of a trapezoid is the average of the lengths of the bases...

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