Practise the method.Example 1Two similar shapes have corresponding lengths in the ratio 1:4. The smaller area is 30cm2. What is the larger area, in cm2?Show worked answerAnswer: 480Area scales by the square of the length factor.30×42=480.Example 2Two similar solids have volumes in the ratio 1:27. A length on the smaller solid is 2cm. Find the corresponding larger length in cm.Show worked answerAnswer: 6The length scale is the cube root of 27, which is 3.Multiply 2 by 3.Example 3Two similar shapes have corresponding lengths in the ratio 1:2. The smaller area is 28cm2. What is the larger area, in cm2?Show worked answerAnswer: 112Area scales by the square of the length factor.28×22=112.