Question

The perimeter of a rectangle is 36 cm. The measure
of its length and breadth are natural numbers. How
many such rectangles are possible?

Answer 1

Answer:

Hence, there are five possible rectangle with perimeter 36 cm and dimension is odd number.

Given perimeter, P = 36 cm

Let length is l and breadth is b then perimeter of rectangle is

So possible odd dimensions of the rectangle can be

1) 1 and 17

2) 3 and  15

3) 5 and 13

4) 7 and 11

5) 9 and 9  (All squares are rectangles)

Answer 2

Step-by-step explanation:

perimeter=36cm

let length be x nd breadth be y

perimeter =2(l+b

36=2(x+2x