The area of the rectangle below is represented by the expression 18x^2 +12x+2 square units write two expressions to represent the dimensions if the length is known to be twice the width

Answer 1

First factor the Area

Area = 18x²+12x+2

Factor out a 2

Area = 2(9x²+6x+1)

Factor this and you get

Area=2(3x+1)(3x+1)

Let L be Length and W be Width

Area=LW

and the Length is twice the Width so

L=2W

Area=2(3x+1)(3x+1) so

L=2(3x+1)

W=3x+1

This can also be written as if you distribute the 2

L=6x+2

W=3x+1