In rectangles with one side 1 centimetre shorter than the other, take the length of the shorter side as x centimetres.
i. Taking their perimeters as p(x) centimetres, write the relation between p(x) and x as an equation,
ii. Taking their areas as a(x) square centimetres, write the relation between a(x) and x as an equation.
iii. Calculate p(1), p(2), p(3), p(4), p(5). Do you see any pattern?
iv. Calculate a(1), a(2), a(3), a(4), a(5). Do you see any pattern?