Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

# 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

Relevance
•   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

• 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

Still have questions? Get your answers by asking now.