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What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5? (5 points)

A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.

Group of answer choices

Perimeter = 54 cm, area = 181.25 cm2

Perimeter = 54 cm, area = 2,028 cm2

Perimeter = 182 cm, area = 2,028 cm2

Perimeter = 182 cm, area = 181.25 cm2

Respuesta :

Answer:

Perimeter 182 cm, area= 2,028 cm2

Step-by-step explanation:

The perimeter of the given rectangle is

  2(6 cm + 8 cm) = 28 cm

The area of the given rectangle is

  (6 cm)*(8 cm) = 48 cm^2

The larger rectangle will have a perimeter of

  6.5*28 cm = 182 cm

The larger rectangle will have an area of

  6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area

The appropriate choice is the 3rd one, ...

  Perimeter = 182 cm, area = 2,028 cm^2

Answer: Perimeter = 182 cm, area = 2,028 cm2 3rd one

Step-by-step explanation: