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In rhombus,
Area = 75sq.cm
Let , the diagonals be x and ( x + 5 ).
By the formula,
Area = x × ( x + 5 )
2
75. .= x sq.+ 5x
2
75 × 2 = x sq. + 5x
150 = x sq.+5x
x sq.+5x -150 = 0
x sq.-10x + 15x -150 = 0
x(x-10)+15(x-10) = 0
(x+15)+(x-10) = 0
x+15=0 OR x-10=0
x = -15 OR x = 10
But ,
Distance is never negative.
Therefore, x = 10units
Now,
Digolnal 2nd = 10+5=15units.
Therefore,the measure of diagonals are 10 units and 15units.
I hope you will help it.
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