A rope 100 feet long is stretched around four posts set at the corners of a rectangle whose area is 576 square feet. Find the dimensions of the rectangle.

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- December 6th 2008, 08:16 AMmagentaritaDimensions of Rectangle
A rope 100 feet long is stretched around four posts set at the corners of a rectangle whose area is 576 square feet. Find the dimensions of the rectangle.

- December 6th 2008, 08:24 AMjanvdl
Since the rope is 100 feet long, then the perimeter of this rectangle must be 100 feet long too.

So we can say:

And simplify that to:

And let's rearrange that to:

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Now let's go to the area (This is going to end up as a simul. equation)

Now let's substitute that value we have for the length

Solve for W, and subsequently L. - December 7th 2008, 10:03 AMmagentaritaok.....