Castles and Maths



Castle’s Garden

To celebrate the Princess’ birthday, the King wants to redecorate the castles’ garden. He plans to have 9 square flowerbeds, 4 alleys that cross the garden and grass all around. The gardener measured the garden and found out that its shape is a square with all sides of 50 m long, but he is not good at calculations. The King wants the alleys to be 1 m wide and the Princess wants her flowerbeds to have the sides of 3m long.
Help the gardener to find out what surface will be planted with grass and how much will the King pay for the grass seeds if 1kg costs 4 Euros and it covers 12 m2 of garden. To help you in your calculations, the gardener drew the garden’s plan: 
Problem from Lugoj, Romania and answer from Caracal, Romania

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Problem and solution from Polish team

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School No 2 Lugoj's solution



Brediceanu Lugoj's solution using Geogebra




Problem from Caracal, Romania and answers from Zadar, Croatia and Lugoj, Romania

https://docs.google.com/present/view?id=dc2hdk2k_32hjm6dxhg



Problem from Zadar, Croatia and the answer from Caracal, Romania


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Brediceanu College solution for Croatian problem

https://docs.google.com/present/view?id=dc2hdk2k_79hctz7zfx

Problem from School No. 2 Lugoj, Romania