A rectangle has sides in the ratio 1:3 a)Write down the length of the longer side of the length of the shorter side is: (i) 1 cm (ii) 2 cm (iii) 5 cm

(i) The length of the longer side is 3 cm(ii) The length of the longer side is 6 cm(iii) The length of the longer side is 15 cmStep-by-step explanation:A rectangle has sides in the ratio 1 : 3, we need to find the length of the longer side if:The length of the shorter side is 1 cmThe length of the shorter side is 2 cmThe length of the shorter side is 5 cmLet us use the ratio method to solve the problem(i)∵ The ratio of the two sides of the rectangle is 1 : 3∵ The length of the shorter side is 1 cm→  Shorter    :    Longer→  1               :    3→  1               :    xBy using cross multiplication ∴ 1 × x = 1 × 3∴ x = 3∵ x represents the length of the longer side∴ The length of the longer side = 3 cmThe length of the longer side is 3 cm(ii)∵ The ratio of the two sides of the rectangle is 1 : 3∵ The length of the shorter side is 2 cm→  Shorter    :    Longer→  1               :    3→  2               :    xBy using cross multiplication ∴ 1 × x = 2 × 3∴ x = 6∵ x represents the length of the longer side∴ The length of the longer side = 6 cmThe length of the longer side is 6 cm(iii)∵ The ratio of the two sides of the rectangle is 1 : 3∵ The length of the shorter side is 5 cm→  Shorter    :    Longer→  1               :    3→  5               :    xBy using cross multiplication ∴ 1 × x = 5 × 3∴ x = 15∵ x represents the length of the longer side∴ The length of the longer side = 15 cmThe length of the longer side is 15 cmLearn more:You can learn more about the ratio in brainly.com/question/4302397#LearnwithBrainly