Question

in the given figure is square has been divided into two rectangle if the sum of the perimeter of the rectangle is 54 CM then what is the perimeter of the square in centimetre​

Answer 1

Answer:

54+54 = 108cm , if rectangles are equal..

Answer 2

Given :  square has been divided into two rectangle  

the sum of the perimeter of the rectangle is 54 CM

To Find  :   perimeter of the square

Solution:

Let say square side = a cm

perimeter of square = 4a cm

Square is divide into 2 rectangles

Hence one line parallel to one side of square will divide adjacent side in two  sides

Let say two sides are b and c  where b + c = a

so we get two rectangles

one is with sides a , b  and another with sides a , c

Sum of Perimeter of rectangles =  2 (a  + b)  + 2(a + c)

= 2(2a + b + c )

= 2 (2a  + a)

= 2 (3a)

= 6a

6a = 54

=> a= 9

=> 4a = 36 cm

perimeter of the square  is 36 cm

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