Rectangle

Written by Jerry Ratzlaff on . Posted in Plane Geometry

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  • Rectangle is a quadrilateral with two pair of parallel edges.
  • Interior angles are 90°
  • Exterior angles are 90°
  • Edge \(\;a = c\) and \(\;b = d\)
  • Angle \(\;A = B = C = D\)
  • 2 diagonals
  • 4 edges
  • 4 vertexs
  • See Moment of Inertia of a Rectangular Plane

Edge formula

\(a = \frac {P} {2} - b\)

\(a = \sqrt { D1^2 - b^2 } \)

\(a = \frac {A} {b} \)

\(b = \frac {P} {2} - a\)

\(b = \sqrt { D1^2 - a^2 } \)

\(b = \frac {A} {a} \)

Where:

\(a\) = edge

\(b\) = edge

\(P\) = perimeter

\(D1\) = diagonal

\(A\) = area

Diagonal formula

\(D1 = \sqrt { a^2 + b^2 } \)

Where:

\(D1\) = diagonal

\(a\) = edge

\(b\) = edge

Perimeter formula

\(P= 2 \left( a + b     \right) \)

Where:

\(P\) = perimeter

\(a\) = edge

\(b\) = edge

Area formula

\(A= ab \)

Where:

\(A\) = area

\(a\) = edge

\(b\) = edge