1.

find the area of square whose perimeter is equal to the perimeter. is equal to the perimeter of a rectangle of size 14 cm by 12 cm​

Answer»

To Find :-

  • The area of square.

Solution :-

Given,

  • Square perimeter = Rectangle perimeter
  • Length of rectangle (l) = 14 CM
  • Breath of rectangle (b) = 12 cm

We know that,

↪ Perimeter of rectangle = 2(l + b)

↪ Perimeter of rectangle = 2(14 + 12)

↪ Perimeter of rectangle = 2(26)

↪ Perimeter of rectangle = 52 cm

Given, Square perimeter = Rectangle perimeter

↪ Square perimeter = 52 cm

Now,

↪ Side of square = Square perimeter / Number of sides

[ PUT the values ]

↪ Side of square = 52/4

↪ Side of square = 13 cm

As we know that,

↪ Area of square = (Side)²

[ Put the values ]

↪ Area of square = (13)²

↪ Area of square = 169 cm²

Therefore,

The area of square is 169 cm².


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