I was just wondering the other day about the concept of area....Area to me is the space occupied in 2d by a bounded figure..... I wanted to find out WHY the area of a square is s^2 or why area of a rectangle is lxb...Consider the dimensions of a rectangle 7x5. The area can be expressed as 5 strips of length 7 i.e. 7+7+7+7+7=35, but now the strips are each 1 unit wide and hence the formula works (width of 5 units is divided into 5 parts of 1 unit), what if the strips are made smaller and smaller such that the strips are infinitesimally small then the formula doesn't make any sense because the width of 5 units is being divided into infinite parts and hence the area is coming out to be zero, thus making me dumbfounded as to the approach adopted by me earlier. Thus, why is the area of a rectangle or square- lxb or sxs???