The diagonal of a quadrilateral is 16 cm long and the perpendicular draw to it from the opposite vertice are 5.5 cm and 6.5cm . find the area of the quadrilateral.
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just divide the parallelogram in two triangles and u will get ur ans
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The the area of quadrilateral is 96 cm².
Let ABCD be a quadrilateral with one of its diagonal AC = 16cm (Given)
DM=6.5cm (Given)
BN=5.5cm (Given)
Area of (ABCD) = Area of Δ(BAC) + Area of Δ (DAC)
= 1/2 × 16 × 5.5 + 1/2 × 16 × 6.5
= 1/2 × 16 (5.5+6.5)
= 8 × 12
= 96
Therefore, the area of quadrilateral is 96 cm².
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