Question

If 12 represents the area of a rectangle, then in how many different ways this rectangle can be drawn so that measures of its side are natural numbers

Answer 1

12 can be expresses as 1 x 12, 2 x 6, 3 x 4.

Hence we can have three rectangles of dimensions 1 by 12, 2 by 6 and 3 by 4 that can be formed using a unit square.

If it is not a repetition we also can have 12 by 1, 6 by 2 and 4 by 3 rectangles also using a unit square, making it 6 types in all