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Similar Shapes – Area Worksheet A

This worksheet provides practice in calculating the areas of similar shapes with varying dimensions. By expressing length and area ratios, learners can find missing measurements accurately. Available in two sizes.

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Similar Shapes – Area Worksheet A

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  1. Similar Shapes – Area – Worksheet A The worksheet is in a 2 sizes.

  2. Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

  3. Areas of Similar Shapes similar Not drawn to scale For each pair of similar shapes… • Express either the length or area ratio. • Use that to find the corresponding ratio. • Use the appropriate ratio to • find missing areas or lengths (1dp). 2 : 3 4 : 9 Length Ratio = Area Ratio = ① (Square) 2 cm 3 cm Area = 10 cm2 Area = 22.5 cm2 ② Length Ratio = Area Ratio = : : 4 cm 5 cm Area = 9 cm2 Area = 14.1 cm2 5 cm 3 cm Length Ratio = Area Ratio = : : ③ Area = 2.9 cm2 Area = 8 cm2 11 cm 4 cm Length Ratio = Area Ratio = : : ④ Area = 6.0 cm2 Area = 45 cm2 8.8 cm 7 cm ⑤ Length Ratio = Area Ratio = : : Area = 16 cm2 Area = 25 cm2 ⑥ Length Ratio = Area Ratio = : : 6.9 cm 16 cm Area = 9 cm2 Area = 49 cm2

  4. Areas of Similar Shapes similar Not drawn to scale For each pair of similar shapes… • Express either the length or area ratio. • Use that to find the corresponding ratio. • Use the appropriate ratio to • find missing areas or lengths (1dp). 2 : 3 4 : 9 Length Ratio = Area Ratio = ① (Square) 2 cm 3 cm Area = 10 cm2 Area = 22.5 cm2 ② Length Ratio = Area Ratio = 4 : 5 16 : 25 4 cm 5 cm Area = 9 cm2 Area = 14.1 cm2 5 cm 3 cm Length Ratio = Area Ratio = 3 : 5 9 : 25 ③ Area = 2.9 cm2 Area = 8 cm2 11 cm 4 cm Length Ratio = Area Ratio = 4 : 11 16 : 121 ④ Area = 6.0 cm2 Area = 45 cm2 8.8 cm 7 cm ⑤ Length Ratio = Area Ratio = 4 : 5 16 : 25 Area = 16 cm2 Area = 25 cm2 Answers ⑥ Length Ratio = Area Ratio = 3 : 7 9 : 49 6.9 cm 16 cm Area = 9 cm2 Area = 49 cm2

  5. Areas of Similar Shapes Areas of Similar Shapes similar Not drawn to scale similar Not drawn to scale For each pair of similar shapes… • Express either the length or area ratio. • Use that to find the corresponding ratio. • Use the appropriate ratio to • find missing areas or lengths (1dp). For each pair of similar shapes… • Express either the length or area ratio. • Use that to find the corresponding ratio. • Use the appropriate ratio to • find missing areas or lengths (1dp). 2 : 3 4 : 9 2 : 3 4 : 9 Length Ratio = Area Ratio = Length Ratio = Area Ratio = ① ① (Square) (Square) 2 cm 2 cm 3 cm 3 cm Area = 10 cm2 Area = 22.5 cm2 Area = 10 cm2 Area = 22.5 cm2 ② ② Length Ratio = Area Ratio = : : Length Ratio = Area Ratio = : : 4 cm 4 cm 5 cm 5 cm Area = 9 cm2 Area = 14.1 cm2 Area = 9 cm2 Area = 14.1 cm2 5 cm 5 cm 3 cm 3 cm Length Ratio = Area Ratio = : : Length Ratio = Area Ratio = : : ③ ③ Area = 2.9 cm2 Area = 8 cm2 Area = 2.9 cm2 Area = 8 cm2 11 cm 11 cm 4 cm 4 cm Length Ratio = Area Ratio = : : Length Ratio = Area Ratio = : : ④ ④ Area = 6.0 cm2 Area = 45 cm2 Area = 6.0 cm2 Area = 45 cm2 8.8 cm 8.8 cm 7 cm 7 cm ⑤ ⑤ Length Ratio = Area Ratio = : : Length Ratio = Area Ratio = : : Area = 16 cm2 Area = 25 cm2 Area = 16 cm2 Area = 25 cm2 ⑥ ⑥ Length Ratio = Area Ratio = : : Length Ratio = Area Ratio = : : 6.9 cm 6.9 cm 16 cm 16 cm Area = 9 cm2 Area = 49 cm2 Area = 9 cm2 Area = 49 cm2

  6. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk

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