Question 118537
The area of a parallelogram is given by {{{A[P]=B*H}}} where B is the base and H is the height.


You are given that {{{B=3x+2}}} and {{{H=2x+3}}}, so the area is {{{A[P]=(3x+2)(2x+3)}}}.


Use FOIL to multiply the two binomial expressions to get the desired trinomial:


First:  {{{3x*2x=6x^2}}}
Outside: {{{3x*3=9x}}}
Inside: {{{2*2x=4x}}}
Last: {{{2*3=6}}}


Put it all together:  {{{6x^2+9x+4x+6}}}
Collect terms: {{{6x^2+13x+6}}}


Hope that helps,
John