Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?
Accepted Solution
A:
The area of rectangle with length l and width w is[tex]A=l\cdot w.[/tex]If the length of rectangle is expressed as [tex]l=3x^2 + 5x + 10[/tex] and the width of rectangle is expressed as [tex]w=x^2-3x-1[/tex], then the area of rectangle is [tex]A=(3x^2 + 5x + 10)(x^2-3x-1)=3x^4-4x^3-8x^2-35x-10.[/tex]