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The perimeter of a shape is 15 cm and the area is 25 cm^2

Find the area of the larger shape if it is being enlarged by a scale factor of 6​

User Sarek
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1 Answer

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Answer:

  • 900 cm²

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Area is the product of two dimensions hence the ratio of areas of similar figures is the square of the scale factor.

Let the area of the enlarged shape be A, and the scale factor be k = 6.

Then we have the area of the larger shape:

  • A = 25*k²
  • A = 25*6²
  • A = 900 cm²
User Teshtek
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