A square is cut into identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm​

Respuesta :

Answer:

Given ,

Perimeter of square = 48 cm

In the question , it has been said that the square is cût into identical rectangles. Therefore ,

  • length of rectangle = side of square
  • breadth of rectangle = side of square / 2

To find - Perimeter of each rectangle formed by cûtting the square into half.

[tex]\huge\red{ ★\:Aᥒsᥕᥱr -}[/tex]

[tex]\bold{perimeter \: of \: square = 48 \: cm} \\ \\\bold{ 4 \times side = 48 \: cm} \\ \\\bold{side = \cancel\frac{48}{4}} \\ \\ \fbox\blue{side\:of\:square= 12 \: cm}[/tex]

thus , as stated above ,

[tex]\bold{length \: of \: rectangle = 12 \: cm} \\\bold{ breadth \: of \: rectangle = \frac{12}{2} = 6 \: cm}[/tex]

Therefore ,

[tex]\bold{perimeter \: of \: rectangle = 2(l + b)} \\ = 2(12 + 6) \\ = 2(18) \\ \fbox\pink{Perimeter\:of\:rectangle\: = 36 \: cm}[/tex]

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