# Find a rectangle insde a rotated rectangle that has a different propotion

• Jun 27th 2012, 10:38 AM
stephencx
Find a rectangle insde a rotated rectangle that has a different propotion
I have a rectangle, A, of known size, that starts aligned to the x/y axes, and can rotate around its centre point.

For any given angle of rotation, I need to determine the maximum dimensions of a second rectangle, B, that:

- is inscribed inside A
- has a different porportion than A, the propotion of B (Proportion of A not equal to Proportion of B)
- maintains alignment to the x/y axes

So, here A (the black rectangle) has been rotated through 30 degrees (the red rectangle). How do I determine the maximum size of B (the blue rectangle)?

Thanks for any help
• Jun 27th 2012, 11:44 PM
earboth
Re: Find a rectangle insde a rotated rectangle that has a different propotion
Quote:

Originally Posted by stephencx
I have a rectangle, A, of known size, that starts aligned to the x/y axes, and can rotate around its centre point.

For any given angle of rotation, I need to determine the maximum dimensions of a second rectangle, B, that:

- is inscribed inside A
- has a different porportion than A, the propotion of B (Proportion of A not equal to Proportion of B)
- maintains alignment to the x/y axes

So, here A (the black rectangle) has been rotated through 30 degrees (the red rectangle). How do I determine the maximum size of B (the blue rectangle)?

Thanks for any help

Could you please provide us with the drawing you are obviously refering to?