The length and breadth of a rectangle are x cm and y cm respectively if the rectangle has an area of 24cm state the possible pairs of integer values of x and y, where x> y

The possible pairs of integer values of x and y are  (24 ,1), (12,2), ,(8,3),  and (6,4) .

Step-by-step explanation:

The length of the rectangle = x cm

The breadth of the rectangle = y cm

Area = 24 sq cm

Now,as x and y are both sides of the rectangle so, x and y ARE STRICTLY POSITIVE.

Also,  AREA OF RECTANGLE = LENGTH X BREADTH

⇒ x y  = 24 ,  x >y

So, all possible values of (x,y) =   (24 ,1), (12,2), ,(8,3),  and (6,4)

Hence, for area to be  24 sq units there are 4 possible dimensional sets.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right