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In geometry, a rectangle is defined as a quadrilateral where all four of its angles are right angles. A rectangle with vertices ABCD would be denoted as $\Box ABCD$.

Rectangles hold the following properties:

• Opposite sides are of equal length (congruent)
• Adjacent sides meet at right angles
• All four angles are of equal measure (congruent)
• All four angles are right angles
• Opposite sides are parallel
• Diagonals are of equal measure (congruent)
• Diagonals bisect one another

## Area

The area of a rectangle is computed as the product of its length and its width:

$A = lw$

## Perimeter

The perimeter of a rectangle is computed as:

$P = 2(l + w)$

## Circumcircle

The circumradius of a rectangle is:

$R= \frac{\sqrt{l^2+w^2}}{2}$

## Incircle

The inradius of a rectangle is:

$r= \frac{lw}{l+w}$

## Diangle length

The diangle length of a rectangle is: