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xGeometry

Rectangle

Length
$$a$$
Width
$$b$$
Diagonal
$$d$$
$$2p = 2a+2b$$
Perimeter
$$A = a \times b$$
Area
$$a = \frac{A}{b}$$
Length
$$b = \frac{A}{a}$$
Width
$$d = \sqrt{{a}^{2} + {b}^{2}}$$
Diagonal (Pythagoras' theorem)
$$a = \sqrt{{d}^{2} - {b}^{2}}$$
Length
$$b = \sqrt{{d}^{2} - {a}^{2}}$$
Width

Definition

A rectangle is a quadrilateral with internal angles congruent (right angles) and opposite sides congruent

Properties

  1. One side is larger (length) and the other smaller (width). The opposite sides are congruent (the sides are congruent in group of two)
  2. The sides can be also written as base (length) and height (width)
  3. Four congruent right angles
Rectangle
Rectangle Formulas
Data Formula
Perimeter 2p = 2 × a + 2 × b
Area A = a × b
Diagonal d = √( a2 + b2 )
Length a = A / b
Width b = A / a
Length a = √( d2 - b2 )
Width b = √( d2 - a2 )