Hi Raven;
perimeter=4x
area=x^{2}
x^{2}=4x+165
x^{2}4x165=0
For the FOIL...
FIRST must be (x)(x)=x^{2}
OUTER and INNER must addup to 4x.
LAST must be (11)(15) or (15)(11) and one number must be negative to render the product of 165.
(x+11)(x15)=0
Let's FOIL...
FIRST...(x)(x)=x^{2}
OUTER...(x)(15)=15x
INNER...(11)(x)=11x
LAST...(11)(15)=165
x^{2}15x+11x165=0
x^{2}4x165=0
(x+11)(x15)=0
Either parenthetical equation must equal zero...
x+11=0
x=11not applicable. Measurements cannot be negative.
x15=0
x=15
Let's check our work...
x^{2}=4x+165
(15)^{2}=[(4)(15)]+165
225=60+165
225=225
1/15/2014

Vivian L.