1. ## finding the biggest posible rectangle inside a quadrilateral

Hi (first time poster),

This problem comes up at work from time to time. I'm hoping to find a simple technique for finding the answer.

We construct various outdour sport surfaces, tennis courts running tracks...

Every once in a while we get a slab of ashphalt in the form of a quadrilateral without any right angles and no parallel lines.. Our job is to find the biggest posible rectangle in the form width (x) length 2x inside this form. Is there a formula to find the placement of the rectangle?

2. Originally Posted by Dolus
Hi (first time poster),

This problem comes up at work from time to time. I'm hoping to find a simple technique for finding the answer.

We construct various outdour sport surfaces, tennis courts running tracks...

Every once in a while we get a slab of ashphalt in the form of a quadrilateral without any right angles and no parallel lines.. Our job is to find the biggest posible rectangle in the form width (x) length 2x inside this form. Is there a formula to find the placement of the rectangle?
I cannot see how a formula can be derived with those. A biggest x by 2x rectangle inscribed, or even just inside, an irregular quadrilateral?
The most you can do is by trial and error. Draw the quadrilateral on paper in scale. Make or cut some x by 2x rectangles. Play with them on the drawn quadrilateral until you find which x by 2x rectangle is the biggest to fit. Get that rectangle's dimensions by scale.