The area of a rectangle is represented by the expression x^2- 5x+4. can you represent the dimensions of the rectangle in terms of x?

1 Answer
Abhi N.
May 29, 2018

#L =(x-1)# and #B=(x-4)#.

Explanation:

We know that area of Rectangle = Length x Breadth.
So we have to factorize the given area.

We have,
#x^2 - 5x + 4#
i.e. #x^2 -4x -x +4#
Or, #x(x-4) -1(x-4)#
Or, #(x-1)(x-4)#

#:.# We now have Area as a factor of two quantities.
So we can take any of these as Length or Breadth.
Hence the answer.

Hope it helps :)

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