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For The Mathematically Inclined

Anil Saigal
11/02/2009

PROBLEM # 1
What is the area of a quadrilateral with nodes located at (0,0), (2,4), (5,7) and (6,0)?

PROBLEM #2
Find the volume of a solid bounded by the graph z=8-2x-4y and below by the xy-plane for (x,y) in the unit square


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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-111209 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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Problems from 10/29/09

PROBLEM # 1

You need to make a pizza box. You know that the box needs to be two inches deep, it needs to be a square, and have a volume of 512 cubic inches. What is the size of the original cardboard sheet?

SOLUTION
20" x 38".

PROBLEM #2

A goat is tied to the corner of a 5-by-4-meter shed by a 8-meter piece of rope. Rounded to the nearest square meter, what is the area grazed by the goat?

SOLUTION
 170.5 sq..m.


Congratulations to Sitaram Chandawarkar, Sophia Farooqui and Narayan Sharma, who were the winner of the last set of puzzles.



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