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 23th. January 2025

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Series 68

problem 811

‘It looks like a square with horizontal stripes,’ said Bernd. ‘Exactly!’ Maria agreed with him.
ABCD is a square with side length a (here a= 5 cm). The diagonal is divided by the points E, F, G and H into 5 equal sections. The straight lines running perpendicular to the diagonal can also be recognised.
What is the percentage of the area of the two blue triangles in relation to the area of the square ABCD? - 5 blue points
What is the percentage of the area of the two red areas in the area of the square ABCD? - 5 red points

Deadline for solution is the 23th. January 2025.

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adress:
Thomas Jahre
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09113 Chemnitz
Germany

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