a rectangle that could have a perimeter of 18 cm. How many possible answers are there?

Answer 1

Perimeter = 2(x+y) where x and y are the sides of rectangle

P = 18 cm = 2(x+y)

It gives, x+y = 9

Now all the possible combinations for (x,y) rectangles with no other conditions given are:

(0.01, 8.99)

(0.02, 8.98)

..

..

and so on...giving infinite possible answers.

Considering that the sides can only be natural numbers:

(1,8), (8,1)

(2,7), (7,2)

(3,6), (6,3)

(4,5) , (5,4)

So 8 possible answers