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

Respuesta :

Answer:

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.

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