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A large rectangle has side lengths of x + 7 and x + 5. In the large rectangle, there is a rectangular hole with side lengths of 2x - 7 and x + 2. What is the area of the large rectangle (not including the area of the hole)? Express your answer as a polynomial in x.

 Jun 18, 2021
 #1
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Area of Rectangle  - Area of Hole   =

 

(x + 7) ( x + 5)  -  (2x - 7) ( x + 2)  = 

 

x^2  + 12x  + 35   -   [ 2x^2  -3x  - 14 ]   =

 

x^2  + 12x  +  35  -  2x^2  + 3x  + 14  =

 

-x^2  +  15x  +  49

 

cool cool cool

 Jun 18, 2021

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