The perimeter of a rhombus ABCD is 80 cm .find the area of Rhombus if its diagonal BD measures 12 CM.
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Perimeter of rhombus=80cm
So, Side of rhombus=20cm
Since, perimeter is the sum of all Sides
Diagonals of rhombus are perpendicular bisectors of each other.... So, by Pythagoras at center(let, O) we get...
AB^2=AO^2+BO^2
20^2=6^2+BO^2
BO^2=2√91
So, d2=4√91
Now, area of rhombus = 1/2*d1*d2 = 1/2*12*4√91 = 24√91
Area of rhombus is 24√91
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