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Let the other diagonal be x:-

If: 0.5*x*12 = 54

Then: x = 54/6 => 9

The rhombus will consist of 4 right angles: base 4.5 cm and height 6 cm

Using Pythagoras: hypotenuses = 7.5 cm

Therefore perimeter: 4*7.5 = 30 cm

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Q: What is the perimeter of a rhobus when one of its diagonals is 12 cm and has an area of 54 square cm showing work?
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