MHB Calculating Dimensions of a Sofa: A Scientific Approach

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To accurately model the Bowie sofa from Wewood, the user seeks to determine the dimensions of each segment, specifically the individual pillows. The discussion highlights that the double sofa measures 220 cm in width, while the single sofa is 113 cm, indicating a ratio of approximately 1.95. It is noted that some dimensions, such as height and depth, remain constant across both sofa types. The user is focused on calculating the length, width, and height of each pillow segment based on these ratios. This approach aims to provide a clearer understanding of the sofa's dimensions for 3D modeling.
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I'm trying to 3D model a specific sofa but I can't figure out the exact dimensions of each segment. I'm reasonably certain all four segments are the same size. Is there enough information here to work it out? It's the Bowie sofa from Wewood if you're curious. (Also not sure if this is the right board or not sorry if it isn't)

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Exactly what are you trying to do? Are you trying to get the dimensions of the parts of the "double" sofa from those of the "single" sofa? If so the the one thing you know is that the width of the "double" sofa is 220 (inches?) while the corresponding measurement for the "single" sofa is 113. That is a ratio of 220/113= 1.95, almost twice. Of course, some measurements, height and back to front distance don't change.
 
Ah, sorry. I'm trying to work out the length, width, and height of each individual pillow, or segment, and the measurements are in centimeters. I included the double sofa because I figured the length of it might provide more information.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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