Equable RectangleDate: 01/28/2001 at 08:08:07 From: Mark Johnston Subject: Equable Rectangles What is the formula for an equable rectangle if I have one side of the rectangle? Could you show me how you got your conclusion? Date: 01/28/2001 at 23:07:46 From: Doctor Peterson Subject: Re: Equable Rectangles Hi, Mark. I take it you want to know the length of one side, x, of a rectangle whose other side is a, for which the area is numerically equal to the perimeter. To find out, just write the formulas for the perimeter and area, set them equal, and solve the equation: P = 2(a+x) A = ax Solve 2(a+x) = ax It's important to realize, as I presume you've been told, that this applies only to whatever particular units you have chosen to measure in; if you use different units, the same rectangle will no longer be "equable" - which is why this is not a real math term, but just an idea you're using for this assignment. In fact, ANY rectangle is "equable" for some unit. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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