A diagonal of a quadrilateral is 30cm long and the perpendiculars on it from the opposite
vertices are 5.6cm and 7.4 cm. Find the area of the quadrilateral.
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30cm
⇒ Length of two perpendicular lines =19cm and 11cm.
Area of a quadrilateral =
2
1
×onediaginal×sumofthetwoperpendicularlines
=
2
1
×30×(19+11)
=
2
1
×30×30
=15×30
=450cm
2
.
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