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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?

### 2 Answers

- ?Lv 71 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

- lenpol7Lv 72 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