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Find the area of quadrilateral ABCD …

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Find the area of quadrilateral ABCD the co-ordinate of whose vertices are A (-3,2) B (5,4) C ( 7,6) and D ( -5,-4)

Posted by Kavi Kanmani 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

ar({tex}\Delta{/tex}ABD) = {tex}\frac12{/tex}|-3(8) + 5(-6) + -5(2 - 4)|
= 22 sq units.
ar({tex}\Delta{/tex}BCD) = {tex}\frac12{/tex}|5(-2) + 7(-8) -5(10)|
= 58 sq units
ar({tex}\Delta{/tex}ABD) + ar({tex}\Delta{/tex}BCD)
= 22 sq units + 58 sq units
= 80 sq units
{tex}\therefore{/tex} ar( Quad ABCD) = 80 sq units.

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