the are of a rectangular swimming pool is given by 4x^2+19x+12 ft^2, one side length of the pool is given by 4x+3 feet. What is an algebraic expression for the other side of length of pool? Simplify this.

Question

lgbasallote · Answer

remember that area = length x width

anonymous · Answer

as area is equal to length times height, you can make an equation as follows:
$$(4x+3) \times (y) = (4x^2 + 19 + 12)$$ where y is the other side.

next factor the equation $$(4x^2 + 19 + 12)$$

anonymous · Answer

can you do it from there? or do you need me to explain more?

anonymous · Answer

I need you explain if you do not mind. I am new to this. Very new, first time at college at an older age and really trying to learn but I  get confused. Would appreciate the help!!

anonymous · Answer

that's fine :)
ok so as we know that to factor $$( 4x^2 + 19x +12) $$ one of the solutions is going to be $$(4x +3) $$ from looking at the equation we can factor the larger equation easily :) so: $$( 4x^2 + 19x +12) = (4x + 3)(x+4) $$ do you understand the factoring?

anonymous · Answer

Yes, i understand factoring

anonymous · Answer

ok great well from there we find that the other side (y as I mentioned earlier) is equal to       (x +4)

anonymous · Answer

ok. these numbers get really complicated!!

lgbasallote · Answer

great teaching @bbsmilieface ;D keep it up! ^_^

anonymous · Answer

@lgbasallote thanks :) @chicken2 I hope you understand now :)

anonymous · Answer

I will continue to work on some other practice problems, but with the way yoou explained it, it really helped. Thank you so much. Like I said ealier all of this is new to me.