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The area ,A, of a rectangle is the length, L, multiplied by the width, W. A=LW hence W=A/L. The perimeter, P, of a rectangle is P= 2(L+W) or 2L+2W. 2W=P-2L and W=(P/2)-L. The Square of the diagonal of a rectangle, D^2 =W^2+L^2 so that W^2=D^2-L^2 and W=sqrt((D^2-L^2). You could also express the width using trigonometric functions, but this is probably enough to get you started.

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