Question

in the given figure below a square has been divided into two rectangle.if sum of the perimeters of the two rectangles is 54cm,what is the perimeter of the squre in cm​

Answer 1

Answer:

36

Step-by-step explanation:

2(l+b)=54

l+b=27

2b+b=27

b=9,

b=a=9

Perimeter of square-9×4=36 cm

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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