PROBLEM # 1
The area of the wall you are going to paint is 50 feet square. If the width is half the height what are the dimensions of the wall?


PROBLEM #2
Give two rectangles where the perimeter of the first is larger than the second but it has a smaller area?

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Problems from 01/06/11

PROBLEM # 1
The sum of five real numbers is 7; the sum of their squares is 10.  Find the minimum and maximum possible values of any one of the numbers.

SOLUTION 1



PROBLEM #2
Find all 8-digit natural numbers n such that n² ends in the same 8 digits as n.  Numbers are written in standard decimal notation, with no leading zeroes.

SOLUTION 2

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