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Compound Shapes – Perimeter – Worksheet A
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Ratio & Shape 1 1) 2) 3) 4) 5) This compound shape is made from
3 congruent rectangles. 8 cm What is the ratio width : length for one small rectangle? On the diagram we see two widths added together to equal 8 cm. How can we use this fact to find the perimeter of the compound shape? 1) Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 12 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 2) 8 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 3) 28 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 4) 20 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 5) 12 cm
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Ratio & Shape 1 Ratio & Shape 2
This compound shape is made from 3 congruent rectangles. Calculate the width : length ratio for each small rectangle. Use this fact to divide the given length. Sketch the lengths of a small rectangle to help. 8 cm What is the ratio width : length for one small rectangle? 1 : 2 1) 2) 3) On the diagram we see two widths added together to equal 8 cm. How can we use this fact to find the perimeter of the compound shape? 1) 16 cm Ratio width : length = 1 : 4 Perimeter of small rectangle = 30 cm Perimeter of compound rectangle = 54 cm 9 cm 10 cm Compound shape perimeter = 42 cm Compound shape perimeter = 45 cm Compound shape perimeter = 56 cm 12 cm 4) 5) 6) Ratio width : length = 1 : 3 Perimeter of small rectangle = 16 cm Perimeter of compound rectangle = 28 cm 2) 14 cm 25 cm 42 cm Compound shape perimeter = 42 cm Compound shape perimeter = 80 cm Compound shape perimeter = 144 cm 8 cm Ratio width : length = 1 : 5 Perimeter of small rectangle = 48 cm Perimeter of compound rectangle = 96 cm 7) 8) 9) 3) 28 cm 24 cm 21 cm 20 cm Ratio width : length = 1 : 2 Perimeter of small rectangle = 30 cm Perimeter of compound rectangle = 60 cm Compound shape perimeter = 88 cm Compound shape perimeter = 102 cm Compound shape perimeter = 88 cm 4) 20 cm 10) 11) 12) Ratio width : length = 2 : 3 Perimeter of small rectangle = 20 cm Perimeter of compound rectangle = 44 cm 5) Perimeter = 78 cm Perimeter = 87 cm Perimeter = 34 cm Small rectangle area = 54 cm2 Small rectangle area = 45 cm2 Small rectangle area = cm2 12 cm
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Ratio & Shape 1 Ratio & Shape 1
This compound shape is made from 3 congruent rectangles. This compound shape is made from 3 congruent rectangles. 8 cm 8 cm What is the ratio width : length for one small rectangle? What is the ratio width : length for one small rectangle? On the diagram we see two widths added together to equal 8 cm. How can we use this fact to find the perimeter of the compound shape? On the diagram we see two widths added together to equal 8 cm. How can we use this fact to find the perimeter of the compound shape? 1) 1) Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 12 cm 12 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 2) 2) 8 cm 8 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 3) 3) 28 cm 28 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 4) 4) 20 cm 20 cm Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = Ratio width : length = Perimeter of small rectangle = Perimeter of compound rectangle = 5) 5) 12 cm 12 cm
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Ratio & Shape 2 Ratio & Shape 2
Calculate the width : length ratio for each small rectangle. Use this fact to divide the given length. Sketch the lengths of a small rectangle to help. Calculate the width : length ratio for each small rectangle. Use this fact to divide the given length. Sketch the lengths of a small rectangle to help. 1) 2) 3) 1) 2) 3) 16 cm 16 cm 9 cm 10 cm 9 cm 10 cm Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = 4) 5) 6) 4) 5) 6) 14 cm 25 cm 42 cm 14 cm 25 cm 42 cm Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = 7) 8) 9) 7) 8) 9) 24 cm 24 cm 21 cm 20 cm 21 cm 20 cm Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = Compound shape perimeter = 10) 11) 12) 10) 11) 12) Perimeter = 78 cm Perimeter = 87 cm Perimeter = 34 cm Perimeter = 78 cm Perimeter = 87 cm Perimeter = 34 cm Small rectangle area = Small rectangle area = Small rectangle area = Small rectangle area = Small rectangle area = Small rectangle area =
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tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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