+0  
 
0
146
1
avatar+436 

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
 #1
avatar+86921 
+2

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

14 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.