if the area of a rhombus is 96 cm sq and one of its diagonals is 12 cm long, find the length of the other diagonal. also, find its perimeter.
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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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✔ We know that, Area of rhombus = 1/2 × product of diagonals.
✔ Let the second diagonal be D2.
✔ So, according to the problem,
96 = 1/2 × 12 × D2
=> 6D2 = 96
=> D2 = 96/6 = 16 cm.
✔ Side of a rhombus = √8²+6² = √100 = 10 cm
✔ So, Perimeter = 10+10+10+10 = 40 cm.
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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✔ We know that, Area of rhombus = 1/2 × product of diagonals.
✔ Let the second diagonal be D2.
✔ So, according to the problem,
96 = 1/2 × 12 × D2
=> 6D2 = 96
=> D2 = 96/6 = 16 cm.
✔ Side of a rhombus = √8²+6² = √100 = 10 cm
✔ So, Perimeter = 10+10+10+10 = 40 cm.
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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