+0  
 
0
39
3
avatar

The midpoints of the adjacent sides of a square are connected to form a new square. What is the number of inches in the perimeter of the original square if the perimeter of the new square is 16 inches? Express your answer in simplest radical form.

 Mar 29, 2021
 #1
avatar+117787 
+1

The  side  length, S,  of  the  original square   can be found as

 

16  = sqrt ( 2 * S^2/4)

 

256  = S^2 / 2

 

512  = S^2

 

S =  sqrt (512)  = 16sqrt (2)

 

The perimeter of the original square=   4 * 16sqrt (2) =  64sqrt (2)

 

 

cool cool cool

 Mar 29, 2021
 #3
avatar
0

If the perimeter of a square is 16 inches, then the length of a side is 4 inches!!!

Guest Mar 30, 2021
 #2
avatar
0

Original square perimeter = 8(4 * sin45º) = 16√2

 Mar 29, 2021

26 Online Users

avatar
avatar
avatar
avatar
avatar
avatar