The question is: The area of a rectangle is given by the expression 8x+44y. Length is 2x+11y. What is width? I answered 4x & 4y, yet that was wrong. Can you help explain why?

Question

Thanks

Answer 1

area = lw
w = area/l
= (8x+44y)/(2x+11y)
= 4(2x + 11y)/(2x+11y)
= 4

or what must I multiply 2x+11y by to get 8x+44y ?
how about by 4

Answer 2

(2x+11y) (w) = 8 x + 44 y

w = (8 x + 44 y) / (2 x + 11 y)

= 4 (2 x + 11 y) / (2 x + 11 y)

= 4