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WOLFRAM|DEMONSTRATIONS PROJECT

Area, Perimeter, and Diagonal of a Rectangle with Uncertain Sides

uncertainty u

name	formula	uncertaincalculus	intervalarithmethic
width	x	20.±0	{20., 20.}
length	y	20.±0	{20., 20.}
area	x y	400.00±0.00	{400.00,400.00}
perimeter	2 ( x + y )	80.00±0	{80.00,80.00}
diagonal	2 x + 2 y	28.28±0	{28.28,28.28}

Using the uncertain calculus [1] and interval arithmetic, simple analytical solutions are derived and used to calculate the area, perimeter, and diagonal of a rectangle with the bottom left corner at the origin and the top right corner

(x,y)

defined by dragging the locator. The slider value

is added as an uncertain part to

(x,y)

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