Flowerbed

Family cultivated tulips on a square flower bed of 6 meters. Later they added the square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace divided the side of the tulip bed in a ratio of 1: 5.
In what proportion did the other side of the terrace split the other side of the flower bed? How many square meters of terraces have their tulips shrunk?

Result

M = (Correct answer is: 1:5)
S =  9 m2

Solution:

$M=1:5$

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