Question

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the length of diagonals of a rhombus are in ratio 3:4. if its perimeter is 40cm find the length of its side and diagonals.

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Answer 1

perimeter of rhombus = 40
4 * side = 40
side = 40/4
side = 4
area of rhombus = side * side
= 10 * 10
= 100
let diagonal 1 = 3x
diagonal 2 = 4x
area of rhombus = 100
1/2 * d1 * d2 = 100
1/2 * 3x * 4x = 100
6x² = 100
x² = 100/6
x = √100/6