Question

The area of a rectangle and a square is same. the length of rectangle is 5 cm more than the side of square and breadth is 3 cm less than the side of the square. Find out the perimeter of the rectangle.​

Answer 1

Answer:

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Answer 2

Answer:

let the square's side be x

=>   rectangles length,l=x+5

      rectangles breadth,b=x-3,

now,

     area of square = area of rectangle

=>      (x)(x) = (l)(b)

    x^2=(x+5)(x-3)

  x^2=x^2 - 3x +5x -15

=>  2x=15

        x=15/2 ..........(i)

now,

perimeter of rectangle= 2(l+b)

                                =2(x+5+x-3)

                                =2(2x+2)

                                = 4x+4

putting value of x,     = 4(15/2)+4

                                    = 30 + 4 = 34 cm    

so, perimeter of rectangle is 34 cm.

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Step-by-step explanation: