The length of a rectangle is represented as l(x)= 4x-1. The width of the rectangle is represented as w(x)= 2x+3. What is the area, A(x), of the rectangle?
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The area of a rectangle is equation to its length multiplied by its width:
Substituting what we know:
Therefore, the equation for the area of the rectangle is `8x^2+10x-3`
`A= l xx w=(4x-1)(2x+3)=8x^2+12x-2x-3=8x^2+10x-3`
The Area value graph. Note the negative value for `-3/2 <= x <= 1/4` are discarged for neagtive values for area have no meaning.
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