For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
01/16/2013

PROBLEM #1

A 11Ã—11 square is cut into integer-sided rectangles with areas in the teens. What are the the lengths and widths of the cut rectangles?

PROBLEM #2

A triangle with sides 21, 42, and 42 is divided into into 6 similar triangles with different sizes. What are the sides of new triangles?

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Problems from 01/03/13

PROBLEM #1

Two trains, one 500 meters long and the other 1000 meters long, are traveling in opposite directions on parallel tracks. The first train is traveling at 100 km/h and the other at 80 km/h. How long will it take for the trains to pass each other from the moment the locomotives are at the same point?

SOLUTION 1
30 sec.

PROBLEM #2

The figure shows right triangles ABC and ADC, angle ACB = 2.angle ACD, and DE perpendicular to AC. What is the ratio AB/DE?

SOLUTION 1
2.

Congratulations to Suhas Joglekar, Prabhakar Nadkarni and RK Sambangi, who were the winners of the last set of puzzles.

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