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a)What is the scale factor of the enlargement? b) What is the value of x?

Rectangle B is an enlargement of Rectangle A.

a)What is the scale factor of the enlargement?

b) What is the value of x?

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2 Answers

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  • ?
    Lv 7
    1 month ago

      Rectangle B is an enlargement of Rectangle A.

      Area of Rectangle A = 3.6 cm^2

      Area of Rectangle B = 32.4 cm^2  

      a)  

      The scale factor of the enlargement is (32.4/3.6)^(1/2) = 3 

      b)  

      The value of x is 3.6 cm

  • 2 months ago

    Scale factor by area 

    32.4 / 3.6 = 9 

    A:B :: 1 : 9 

    Remember when scales by area the ratios are 

    a^2:b^2 :: 1: 9 :: 1:3^2

    Hence the linear ratios scaling is  a:b :: 1:3 :: x:10.8

     By factons 

    1/3 = x/10.8 

    x = 10.8/3 =  3.6  cm   

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