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In the figure, every region is a square.  If the yellow squares have area 1, then what is the area of the whole rectangle?

 

 Feb 1, 2021
 #1
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Yellow squares have area 1 so the sides  =  1  

Which makes the purple squares sides     =  2  

Which makes the brown squares sides      =  5   

 

Area of brown squares .... 2 squares with area 52  each  =  2 • 25  =  50  

Area of purple squares .... 2 squares with area 22  each  =  2 • 4   =    8  

Area of yellow squares ....  2 squares with area 12  each  =  2 • 1   =    2  

 

Add up all six areas ....                                                    total area  =   60 square units  

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 Feb 1, 2021
 #2
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hahahaha...cool

 Feb 2, 2021

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