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The square shown is divided into 4 congruent rectangles. If the perimeter of each rectangle is 144 units, what is the perimeter of the square?

 

 Apr 19, 2021
 #1
avatar+527 
+1

perimeter = 2l + 2w 

144 = 2l + 2w

72 = l + w

 

but we know that l = 4w, since 4 widths make up one side of the square, and the length does too

 

72 = 4w + w

72 = 5w

w = 14.4

 

72 = l + w

72 = l + 14.4

l = 57.6

 

perimeter of square

= 4l 

= 4(57.6)
= 230.4 units

 Apr 19, 2021
 #2
avatar+31646 
+1

8 w  +  8 h  = 144 (4)

w = 4h

 

(8) 4 h + 8 h = 144(4)

h = 14.4

 

square perimeter = 16h = 230.4 units         ) Just as Logarhythm found !)

 Apr 19, 2021

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