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The square shown is divided into 4 congruent rectangles. If the perimeter of the square is 150 units, what is the perimeter of one of the four congruent rectangles?

 

 Jan 1, 2021
 #1
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Well, find the side length of the square, 150/4=37.5, the four congruent rectangles divide the 37.5 to 37.5/4=
9.375, 9.375+37.5+9.375+37.5= 93.75

 Jan 1, 2021
 #2
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Hello Guest!

 

Since a square has 4 congruent side lengths. Thus, each side length is 150/4 = 37.5. 

As we see from the image, the longer side length of the rectangle is the same length of the square side length. (37.5) 

4 of the smaller sides of the rectangle is equal to the length of the square side length (37.5/4 = 9.375) 

 

In each perimeter rectangle, there are 2 long lengths and 2 short lengths. 

9.375*2 + 37.5*2 = 93.75. 

 

I hope this helped. :))))

 

=^._.^=

 Jan 1, 2021

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