A square and a rectangle have the same perimeter, measuring 32 m , but different areas.What are their possible dimensions ????

Dear Student,

Please find below the solution to the asked query:

Given : A square and a rectangle have the same perimeter , measuring 32 m

We know perimeter of square  = 4 ( Side ) , So

4 ( Side ) = 32

Side of given square = 8  m 

And

We know area of square = ( Side )²

So,

Area of given square  = 8² = 64

And

We know perimeter of rectangle = 2 ( Length  + Breadth ) , So

2 ( Length  + Breadth ) = 32

Length  + Breadth = 16

So,

Possible dimension for rectangle : ( 1 , 15 ) , ( 2 , 14 ) , ( 3 ,13 ) ( 4 , 12 ) , ( 5 , 11 ) , ( 6 , 10 ) , ( 7 , 9 )


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