If the length of a rectangle is reduced by 3 meters and the width is increased by 2 meters, the result is a square whose area is the same as that of the rectangle. What is that area

[A solution to this problem will appear along with next month’s problem.]



The perimeter of a BIG square is seven times the perimeter of a SMALL square. What fraction of the area of the BIG square is the area of the SMALL square?

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The coordinates of the vertices of quadrilateral ABCD are:
A(-4,-3), B(4,2), C(2,-2), and D(6,-5).
What is the area of quadrilateral ABCD?

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For many additional problems we highly recommend the following books:

Math Olympiad Contest Problems for Elementary and Middle Schools by Dr. G. Lenchner
Math Olympiad Contest Problems Volume 2 edited by Richard Kalman
MOEMS® Contest Problems Volume 3
edited by Richard Kalman & Nicholas J. Restivo.
are sources of many such problems.

Creative Problem Solving in School Mathematics 2nd Edition by Dr. George Lenchner
can help you to teach solving these types of problems