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The perimeter of a rectangle is 99 inches. Its width is 11 inches. Show how to solve for the length algebraically. Then show how to solve for the length arithmetically. Compare and contrast the solution methods. Did you get the same answer using both methods?

Guest May 18, 2017
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Arithmetically:

99 - 2*11 = 99 - 2*11 = 77

77/2 = 38.5

 

Algebraically:

Perimeter of Rectangle = 2x + 2y where x is the width and y is the length

99 = 2x +2y

99 =  2(11) + 2y

99 - 2(11) = 2y 

77/2 = 38.5 = y 

 

You can do the compare and contrast part. smiley

 

And as you can see they are in fact the same value.

JonathanB  May 18, 2017
edited by Guest  May 18, 2017

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