+0  
 
+1
38
1
avatar

Rhombus ABCD has perimeter 148, and one of its diagonals has length 28. what is the area of ABCD?

 Oct 5, 2021
 #1
avatar+35058 
+2

Rhombus sides are all equal    148 / 4 = 37 per side

   the diagonals of a rhombus intersect at right angles (see image below)  and bisect each other

        using pythag theorem you can find 1/2 of the other diagonal to be sqrt 1173  for total digonal length 2 * sqrt 1173

 

 

Area of a rhombus = diagonal 1  * diagonal 2   / 2        = 28 * 2 sqrt1173 / 2   units2     <====== I trust you can finish

 

 

 

 

 Oct 5, 2021

53 Online Users

avatar
avatar
avatar