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A blue square is divided into five congruent rectangles. If the perimeter of one rectangle is 36, find the perimeter of the blue square.

 

 Dec 22, 2019
 #1
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+1

 

 

The perimeter  of the rectangle  = 

36  =  2 (W + L)

18  =  W + L      (1)

 

And  let the side of the square =  S   ....so.....

10W  = 2S      ⇒  5W  = S     ⇒  S/5  = W     (2)

2L  =  2S    ⇒    L  = S   ⇒          S = L           (3)

 

Sub (2) and (3)  into  (1)   and we have that

 

18 = S/5  + S             

 

18  =  (6/5)S

 

18 (5/6)  = S

 

15  = S

 

So....the perimeter of the square =  4S  = 4 (15)   =  60

 

 

cool cool cool

 Dec 22, 2019
 #2
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That's for the 2nd graders.  laugh

 Dec 22, 2019

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