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a rectangle has an area of 16ft squared, every dimension is multiplied by a scale factor, and the new rectangle has an areaof 64 ft squared, what was the scale factor? ...?

Answer :

syed514
The scale factor is
 =2(8)(2)
 = 16(8 (2))(2 (2))
=64

Answer:

Scale factor is 2

Step-by-step explanation:

A rectangle has an area of 16ft²

That is

            Length₁ x Breadth₁ =  16 ft²

Every dimension is multiplied by a scale factor, let the scale factor be s.

New dimensions are

                  Length₂ = s x Length₁

                  Breadth₂ = s x Breadth₁

New area is given by

                 Area = Length₂ x Breadth₂ = s x Length₁ x s x Breadth₁

                 Area = s² x Length₁ x Breadth₁

                 64 = s² x 16

                  s² = 4

                  s = 2

So scale factor is 2

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