The area of a rectangular window is given by the trinomial #x^2-14x+48#. The window's length is #x-8#. What is the window's width?

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Answer 1 · 2016-09-12T10:24:58

The area of window #A=x^2-14x+48#.
The window's length is #l=x-8#.
Let the window's width #w#

So

#wxxl=A#

#=>w=A/l=(x^2-14x+48)/(x-8)#

#=>w=(x^2-6x-8x+48)/(x-8)#

#=>w=(x(x-6)-8(x-6))/(x-8)#

#=>w=((x-8)(x-6))/(x-8)=x-6#