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What is the perimeter, in units, of a rhombus if its area is 120 square units and one diagonal is 10 units?

 
SmartMathMan  Dec 7, 2017
edited by Guest  Dec 7, 2017
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Area  = product of the diagonals  / 2

 

120  =  D * 10 / 2

 

120  =  D * 5

 

24 =   D  = the other diagonal length

 

And  the diagonals bisect each other...so 1/2 of each of their lenghts will form legs of a right triangle  with the side asa hypotenuse.....so we have that

 

5^2 + 12^2  =  side^2

169  = side ^2          take the square root of each side

13  = side

 

And the perimeter is 4 times this  = 52

 

 

cool cool cool

 
CPhill  Dec 7, 2017

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