This week's maths problem

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Problem of the week

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On Friday of each week we will post a new maths challenge.
You may submit your solution by the following Thursday.
Each problem contains two different levels of difficulty. You will be awarded from 2 to 12 points for a full answer.
Each series contains 12 problems before the stage winner is determined.
Your score will be published here.

In each series we will give away 3 books as prices. The prices will be drawn by lot among the best ten participants of the series. The books are kindly sponsored by Buchdienst Rattei of Chemnitz.

Suggestions for problems are welcome.

Deadline is 12nd of December 2019.

German version - Italian version - French version - Spanish version  Hungarian Version

Series 52

problem 624

“Again I decided to shape letters according to the “instruction” of Albrecht Dürer”, said Maria. (W in task 600, O and E in task 612).
Starting point is a square ABCD with the side length a (here a = 10 cm).

For H applies E and F divide in half the square sides. The crossbeam is a/30 thick.
The circles have an radius a/10. The left and the right beam is a/10 wide.
How big are area and perimeter of letter H? – 8 blue points.

You also have to calculate the area and perimeter of letter F. – 10 red points. The circles on the left respectively at the bottom have a radius a/10. The circles in the middle have a radius a/12. The red distance between them is a/30. The circle at the right top corner has a radius a/14. The distance of the perpendicularly running parallel is a/10.
Solving the picture-puzzle will get you two extra blue points, provided you also got points doing the regular maths problem. The rule for each picture puzzle is: Each icon represents one digit, same icons, same digits, different icons, different digits.  ©HRGauern[at]@t-online.de

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adress:
Thomas Jahre
Stollberger Strasse 25
09119 Chemnitz
Germany

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