MathematicsIf one of the diagonals of a quadrilateral is 6cm and the perpendiculars drawn to it from its opposite vertices are 2.6 cm and 1.4 cm, then its area is

If one of the diagonals of a quadrilateral is 6cm and the perpendiculars drawn to it from its opposite vertices are 2.6 cm and 1.4 cm, then its area is

A
11 $c m 2$
B
12
$c m 2$
C
16
$c m 2$
D
18
$c m 2$

Solution:

Area of Quadrilateral

$= 12 d h 1 + h 2$

$= 12 × 6 2.6 + 1.4$

$= 12 × 6 × 4$

$= 12 c m 2$

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