Mathematical Question

[bbankston]

I have a rectangle that is 100 x 144 inches. I need to find out the longest rectangle that I can make from it.

 

So far, the longest and widest (widest?) that I've found is 147.75 x 30.9 inches. I must hold the 147.75 but I need it to be wider than 30.9 inches. What's the best way to do this?

 

Here's how I've been doing it:

 

I draw the block (100 x 144)

I make a circle with a radius of 147.75

I move the center of the circle in various places on the block and find the tangents of circle to block

I then make right angles and see what I've got

 

There must be a better way to do this.

 

Thank you,

 

Brandon (is this Trig or Geometry) Bankston

Edited April 16, 2012 by bbankston

[bbankston]

 

Here is a screenshot of my progress.

[JD Mather]

I have a rectangle that is 100 x 144 inches. I need to find out the biggest rectangle that I can make from it.

 

Isn't the biggest rectangle that can be created from a 100x144 rectangle, well a 100x144 rectangle? I must be missing something.

Is this a trick question? Ahh, I see - you want the longest - not the largest (area).

 

 

If you have access to a later version with parametric constraints.

[ReMark]

Unfortunately the OP is using LT. bbankston: Isn't time to upgrade?

[bbankston]

JD Mather,

 

I appreciate the quick response but I do not believe that I have parametric constraints associated with my version of CAD.

 

As I've stated the larger rectangle in the block must be 147.75 in length but how do I figure the width?

[bbankston]

Ha, ha. Oh, ReMark. We've gone over how cheap my company is. I can only work with the tools that I've got.

[JD Mather]

JD Mather,

how do I figure the width?

 

width is 31.292"

[bbankston]

JD Mather,

 

Did you just use your parametric constraints to figure that out or is there some formula that you have readily available? I'm hoping for the latter.

 

I only ask because I have to do this every so often and I was hoping you CAD gurus would have a quick solution (or formula) that could help.

 

Again, I really do appreciate y'alls help.