1.

If the area of a rhombus is 96 cm cube and one of its diagonal is 12 cm long, find the length of the other diagonal. Also, find its perimeter.​

Answer»

⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐

                                             

We know that,

  • Area of rhombus = 1/2 × product of diagonals.

LET the second diagonal be D.

So, ACCORDING to the problem,

96 = 1/2 × 12 × D

=> 6D = 96

=> D= 96/6 = 16 cm.

  • Side of a rhombus = √[(half of Diagonal1)^2+(half of Diagonal2)^2)]

Side of a rhombus = √(8²+6²) = √100 = 10 cm

So, Perimeter = 10+10+10+10 = 40 cm.

                                             

⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐


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