A stick of length 1 is broken at a point chosen uniformly

Chapter 4, Problem 26SE

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QUESTION:

A stick of length 1 is broken at a point chosen uniformly along its length. One piece is used as the length of a rectangle, and the other is used as the width. Find the mean area of a rectangle formed in this way.

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QUESTION:

A stick of length 1 is broken at a point chosen uniformly along its length. One piece is used as the length of a rectangle, and the other is used as the width. Find the mean area of a rectangle formed in this way.

ANSWER:

Answer:

Step 1 of 1:

In this question, we are asked to find the mean area of rectangle formed with broken piece of stick.

Length of stick = 1

One piece is used as the length of a rectangle.

The other piece is used as the width of a rectangle.

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