if length of diagonal of a rhombus is 30 cm and its area is 240 cm.find its perimeter.
answer it with a method
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Let the other diagonal be d cm.
Area of rhombus = 1/2 (product of diagonals )
240=1/2 × (30 × d)
d= 240 × 2/30
d= 480/30
d= 16
diagonals of rhombus bisect each other at right angles
let the length of sides be x
x= d1/2² + d2/2²
x= 30/2² + 16/2²
x= 15² + 8²
x= √289
x= 17
perimeter of rhombus = 4 × side
= 4 × 17
= 68cm
68cm is your answer
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