Find the area of the rhombus if its vertices are (3,0) , (4,5) , (-1,4) and (-1,-2) taken in order.
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=> A(3,0) , B(4,5) , C(-1,4) , D(-2,-1)
ABCD IS A RHOMBUS
=> AREA OF RHOMBUS ==> 1/2 * AC * BD
=> DISTANCE B/W AC
=> AC² = (3+1)²+(0-4)²
=> AC² = 16 + 16
=> AC² = 32
=> AC = √32 ==> 4√2 UNIT
NOW, DISTANCE BETWEEN BD
=> BD² = (4+2)²+(5+1)²
=> BD² = 36+36
=> BD = √72
=> BD = 6√2 CM
AREA OF RHOMBUS ==> 1/2×AC×BD
=> 1/2×4√2×6√2
=> 2√2 × 6√2
=> 24 CM
AREA = 24 CM
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