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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-3) 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.

 Mar 14, 2020
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Area of lareger rectangle = L   x     W

                                            (x+7)   *   (x+5)   =    x^2 + 12x + 35       Now subtract the area of the hole

 

 

Hole area   (2x-3)(x-2)  = 2x^2 -7x+6

 

 

(x^2 + 12x+35 )    -    (2x^2 -7x +6)    = area without including hole......simplify  

 

- x^2 + 19x + 29

 Mar 14, 2020
edited by ElectricPavlov  Mar 14, 2020

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