Question

The area of a rectangle is represented by the expression2x^2+14x+20 Bill claims that this rectangle could have either the dimensions (2x+4) and (x+5) or the dimnesions of (2x+10) and (x+2). do you agree or disagree ? justify your opinion

Answer 1

I agree. Both of the equations come out to 2x^2+14x+20

(2x+10)(x+2)

Use the FOIL method

2x^2+4x+10x+20

Combine like terms

2x^2+14x+20


(2x+4)(x+5)

Use the FOIL method

2x^2+10x+4x+20

Combine like terms

2x^2+14x+20