find the area of rhombus whose perimeter is 200m and one of the diagonals is 80m
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Perimeter of rhombus=4(side)
200=4(side)
50 m=side
∵Diagonals of rhombus bisect each other at right angles,
∴Diagonal=40 m
Let other diagonal=x
x²+(40)²=(50)² (By pythagoras Th.)
x=30
Now, ar. of rhombus=d₁d₂/2
⇒40*30/2=60 m²
200=4(side)
50 m=side
∵Diagonals of rhombus bisect each other at right angles,
∴Diagonal=40 m
Let other diagonal=x
x²+(40)²=(50)² (By pythagoras Th.)
x=30
Now, ar. of rhombus=d₁d₂/2
⇒40*30/2=60 m²
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