Respuesta :

carlosego

Answer: The first option.


Step-by-step explanation:

1. The formula for calculate the perimeter is:

P=2l+2w

Where l is the lenght and w is the width.

2. The first perimeter is:

[tex]P_1=2(105m)+2(12.5m)=235m[/tex]

3. If you multiply the dimension by a scale of factor of 2, is the same as write the following expression:

[tex]P_2=2(2l+2w)[/tex]

Where [tex]2l+2w[/tex] is the first perimeter.

4. Then:

 [tex]P_2=2(235m)=470m[/tex]

Answer:

First option is correct.

Step-by-step explanation:

Case first : Length =105m

                width = 12.5 m

Perimeter formula = 2 [ length +width]

                              = 2 [ 105m + 12.5m ]

                               = 2(117.5)

                               =235m

Case Second when dimensions are multiplied by 2

  Length = 2 (105m ) = 210 m

width = 2(12.5) = 25m

Perimeter = 2 [ 210+25]

                 = 2 [235]

                  = 470  m  = 2 times 235

                    perimeter is increased by factor of 2.


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