The dimensions of the rug would be 4x and x+1.
To factor this, we take out the GCF. The larges factor that both coefficients have in common is 4. Both factors also have an x, so we factor both out:
4x( )
Taking 4x out of 4x² leaves x:
4x(x )
Dividing 4x by 4x leaves 1:
4x(x+1)