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What is the difference in the areas of a square and rectangle if the rectangle has side lengths 4 less and 4 more than a square? Use algebra or a geometric model to compare the areas and justify your answer.

 Apr 8, 2021
 #1
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Let the  side  of  the  square = x

 

Then  let  the sides of the rectangle be  x  - 4   and  x + 4

 

Area of square  =   x^2

 

Area of  rectangle  =  ( x + 4)  ( x - 4)  =  x^2  -  16

 

Difference in  areas    x^2  - ( x^2  - 16)  =      16

 

 

cool cool cool

 Apr 8, 2021

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