+0  
 
0
47
2
avatar

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.

 May 2, 2020
 #1
avatar
0

The perimeter of PQRS is 120.

 May 3, 2020
 #2
avatar+20914 
+1

Given a rhombus with diagonals  14  and  48  --  what is the perimeter?

 

Since the diagonals of a rhombus are perpendicular to each other, four congruent right triangles are formed.

Each of these triangles have bases of  7  and  24  so we can use the Pythagorean Theorem to find the side

of the rhombus.

 

c2  =  72 + 242     --->     c2  =  49 + 576     --->     c2  =  625     --->     c  =  25.

 

The perimeter will be  4 x 25  =  100

 May 3, 2020

27 Online Users

avatar