Two rectangles have the same area find x

Rectangle 1 : base = x height = x+6
Rectangle 2 : base = x+3 height =x+1

Question

Two rectangles have the same area find x 

Rectangle 1 : base = x height = x+6
Rectangle 2 : base = x+3 height =x+1

xapproachesinfinity · Answer

rectangle 1 has area x(x+6)
rectangle 2 has area (x+3)(x+1)
if they have the same area what should you do?

lolox · Answer

Multiply them together? @xapproachesinfinity

xapproachesinfinity · Answer

not really

xapproachesinfinity · Answer

what does it mean for areas to be the same?

lolox · Answer

The length and width have to be the same? @xapproachesinfinity

sunnnystrong · Answer

as @xapproachesinfinity said
if:
rectangle 1 has area x(x+6)
rectangle 2 has area (x+3)(x+1)
than--->
$$x^2+6x = x^2 + 4x + 3$$

simplify & solve for x -->

lolox · Answer

Tysm @sunnystrong

sunnnystrong · Answer

@lolox np (:

sunnnystrong · Answer

always happy to help!