Mathematics Homework Solutions
Problem
#8567

Algebra : Puzzle Problems

Please see the attached file for the fully formatted problems.

1) Have you ever seen the written form of the Sanskrit language? If so, you probably are amazed at how different this ancient language from India looks from ours. Some English words, however, are based on Sanskrit. For example, cup comes from the Sanskrit work kupo, which means water well. This puzzle requires several water wells.

Suppose you need to measure exactly 1 cup of water. All that you have in your kitchen are two containers. The smaller container holds 3 cups and the larger holds 5 cups. How can you use these two containers to measure exactly 1 cup of water?


2) While flying over farmland, a pilot notices the rectangular shape of the fields below. She sketches the lines that divide the fields.
When she returns to the airport, she wonders how many different rectangles can be formed by the lines drawn?
HINT: Don't forget that a square is also a rectangle.

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Math-Puzzles.doc
1) Have you ever seen the written form of the Sanskrit language? If so,
you probably are amazed at how different this ancient language from
India looks from ours. Some English words, however, are based on
Sanskrit. For example, cup comes from the Sanskrit work kupo, which
means water well. This puzzle requires several water wells.

Suppose you need to measure exactly 1 cup of water. All that you have in
your kitchen are two containers. The smaller container holds 3 cups and
the larger holds 5 cups. How can you use these two containers to measure
exactly 1 cup of water?

2) While flying over farmland, a pilot notices the rectangular shape of
the fields below. She sketches the lines that divide the fields.

When she returns to the airport, she wonders how many different
rectangles can be formed by the lines drawn?

HINT: Don't forget that a square is also a rectangle.











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