Lincoln school is having a fundraising contest.Each student is to design a school poster . The designs are to be made to fit a rectangle that is 12 cm by 16cm and then dilated by a scale factor of 3. What will be the perimeter and area of the final poster? PLZ HELP DUE IN 2HR!!

Respuesta :

Answer: Perimeter and Area of the final poster will be 168 cm and 1728 cm² respectively.

Step-by-step explanation:

Since we have given that

Each student is to design a school poster.

Dimensions of rectangle are :

[tex]12\ cm\ by\ 16\ cm[/tex]

It is then dilated by a scale factor of 3.

So, Perimeter of the final poster becomes

[tex]3\times 2\times (L+B)\\\\=6(12+16)\\\\=6\times 28\\\\=168\ cm[/tex]

Similarly, Area of the final poster becomes

[tex]3^2\times L\times B\\\\=9\times 12\times 16\\\\=1728\ cm^2[/tex]

Hence, Perimeter and Area of the final poster will be 168 cm and 1728 cm² respectively.


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