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

uncertainty u

0

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

u

is added as an uncertain part to

(x,y)

.