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?

2 Answers

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crmhaske | College Teacher | (Level 3) Associate Educator

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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`

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oldnick | (Level 1) Valedictorian

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`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.