The area in square feet of a rectangular field is #x^2 -140x + 4500#. The width, in feet, is #x -50#. What is the length, in feet?

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Answer 1 · 2017-10-09T12:30:51

#(x-90)ft#

the area

#x^2-140x+4500#

the length will be the area#-:#width

ie

#x^2-140x+4500=(x-50)(x+a)#

comparing

constant terms

4500=--50a#

#=>a=-90#

check for consistency

#x-# term

#-140=--50-90=-140 sqrt#

length #(x-90)#