We know that all congruent figures are equal in area. Can we say figures equal in area
need to be congruent too? Are these figures congruent?
Draw at least three trapeziums which have different areas but equal perimeters on a
squared sheet.
11.4 Area of a General Quadrilateral
A general quadrilateral can be split into two triangles by drawing one of its diagonals. This
triangulation” helps us to find a formula for any general quadrilateral. Study the Fig 11.10.
Area of quadrilateral ABCD
(area of A ABC) + (area of A ADC)
B В
h
x4)
h
= (1/ / AC h) + (1/24
= // AC x cm, + 4)
А
D
Fig 11.10
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