The area of a rectangle is represented by the polynomial function, A(x) = 2x^2 + 6x + 4. Find polynomial expressions that might represent the dimensions (length and width) of the rectangle.

Question

anonymous · Answer

Perimeter of rectangle= sum of all 4 sides or 2(L+W)
Width: 'x'
Length: 2x+2
Perimeter= 40 
2(x+2x+2)=40 "OR"
x+x+2x+2+2x+2=40 
6x+4=40
Subtract 4 from both sides to get x term alone on one side
6x=36
Divide both sides by 6 to get x alone
x=6 
Length= 14m

anonymous · Answer

source: http://www.algebra.com/algebra/homework/Rectangles/Rectangles.faq

radar · Answer

The area is the product of the length and width.  Do you agree?

radar · Answer

If you do, then by factoring the Area function  A(x) getting to polynomials that would represent the length and width.

radar · Answer

What do you have for answer options?

anonymous · Answer

I have no clue what the answer is and I'm super confused. My brother told me the answer was (2x+2)(x+2)

anonymous · Answer

you must factor the polynomial in order to figure the expressions of each dimension. 
S|dw:1361928860009:dw|ince your question does not ask for any specific value,the answer can be expressed as