Question

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?

Answer 1

`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 :)