The area of a rectangular door is given by the trinomial #x^2 – 14x + 45#. The door’s width is #(x – 9)#. What is the door’s length?

1 Answer
Loweena Gonasegaran · A08
Mar 3, 2018

Length = #(x-5)#

Explanation:

Area#=# Width × Length
#=>x^2-14x+45 = (x-9)# × Length
#=>#Length = #(x^2-14x+45)/((x-9))#
#=>#Length = #((x-5)(x-9))/((x-9))#
#=>#Length = #((x-5)cancel ((x-9)))/(cancel((x-9)))#
#=>#Length = #(x-5)#

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