Every Tetromino using same Tetromino

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I made a little puzzle!

Can you fit the six little houses (A, B, C, D, E, F) into the big one (G)?

In this case, a house is defined as a square with one side glued to the hypotenuse of a right isosceles triangle, making a pentagon.

The areas of the shapes are:

A: 1.25
B: 2.5
C: 5
D: 10
E: 20
F: 40
G: 81.5 (the additional 1.5 is a chimney, which is one unit wide and connected to the roof)

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