A rectangle has an area of 2x2-x-1
a) Determine an expression for the width of the rectangle if the length is 2x+1
b) State any non-permissible value(s)
c) Are there any other non-permissible values of x? Explain.
Area of a rectangle = length * width
a) width = area / length = (2x^2-x-1) / (2x+1)
b) non-permissable values would be values that result in a denominator of 0 2x+1 = 0 x cannot equal -1/2
c) Length cannot be LESS than zero either, soooo 2x+1 cannot be less than 0
2x+1 < 0
x < -1/2 x cannot be less than -1/2
Area of a rectangle = length * width
a) width = area / length = (2x^2-x-1) / (2x+1)
b) non-permissable values would be values that result in a denominator of 0 2x+1 = 0 x cannot equal -1/2
c) Length cannot be LESS than zero either, soooo 2x+1 cannot be less than 0
2x+1 < 0
x < -1/2 x cannot be less than -1/2