Geometry Perimeter Problems: Decagons, Heptagons, and More

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Solve various perimeter problems involving decagons, heptagons, icosikaihenagons, and more polygons of different shapes and sizes. Identify unknown lengths marked as "?" in each shape to calculate the perimeter accurately.


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  1. b) 3m a) 15m 3m Find the perimeter of each decagon. 15m 4m c) 3m 4m

  2. b) 10mm a) 4m Find the perimeter of each heptagon. 1m 15mm c) 25mm 9cm 10cm

  3. 7cm 3cm Find the perimeter of the icosikaihenagon.

  4. 6m Find the perimeter of the icosidigon. 1m 3m

  5. 28cm b) a) Perimeter = 177cm 20ft Find the length labelled ? in each tridecagon Perimeter = 86ft ? 25m c) 6ft Perimeter = 133m ? ? 7m

  6. b) All four hexagons have a perimeter of 60cm a) 3cm Perimeter = 60cm ? All four hexagons are made up of only two lengths Perimeter = 60cm ? All four hexagons have a shorter length of 3cm 3cm For each hexagon, find the longer length, labelled ? d) c) ? Perimeter = 60cm Perimeter = 60cm 3cm ? 3cm

  7. ? The perimeter of the triacontagon is 320cm 15cm Find the length marked ?

  8. ? The perimeter of the icositetragon is 256m 10m Find the length marked ? 8m

  9. Find the perimeter of each decagon. Find the perimeter of each heptagon. Find the perimeter of the icosikaihenagon. Find the perimeter of the icosidigon. a) 54m a) 22m b) 58m b) 130mm 99cm 78m c) 38m c) 65cm Find the length labelled ? in each shape tridecagon For each hexagon, find the longer length, labelled ? The perimeter of the triacontagon is 429m The perimeter of the icositetragon is 630cm Find the length marked ? a) ? = 24cm Find the length marked ? a) ? = 2ft b) ? = 17cm b) ? = 11cm c) ? = 13.5cm ? = 5cm ? = 20m b) ? = 15m d) ? = 11.4cm

  10. Which rectangles can we find the perimeter of and why? The highlighted length is 50cm The highlighted length is 50cm The The highlighted length is 50cm highlighted length is 50cm The The highlighted length is 50cm highlighted length is 50cm

  11. Each shape is made of 5 squares. Each highlighted length is 24cm. Find the perimeter of each shape. Each shape is made of squares. The highlighted length is 30cm. Find the perimeter of each shape.

  12. The The highlighted length is 12cm The highlighted length is 12cm The highlighted length is 12cm highlighted length is 12cm The highlighted length is 30cm The highlighted length is 30cm Find the perimeter of each shape The highlighted length is 24cm

  13. Which rectangles can we find the perimeter of and why? Not enough Not enough The highlighted length is 50cm information The highlighted length is 50cm information The The highlighted length is 50cm highlighted length is 50cm 300cm 100cm The The highlighted length is 50cm information Not enough highlighted length is 50cm 150cm

  14. This shape has a perimeter of 220cm What is the length of the unmarked side? Each side length is an integer The highlighted length is 40cm

  15. For some answers, a suggested calculation is given Each shape is made of 5 squares. Each highlighted length is 24cm. Find the perimeter of each shape. in green. Why do these work? Each shape is made of squares. The highlighted length is 30cm. Find the perimeter of each shape. 96cm 48cm 24x2 140cm 12x3 36cm 80cm 60cm 72cm 36cm 78cm 28.8cm 24x4 24 5 6 100cm

  16. The The highlighted length is 12cm 18cm The highlighted length is 12cm 36cm The highlighted length is 12cm highlighted length is 12cm 24cm 36cm 150cm The highlighted length is 30cm The highlighted length is 30cm 90cm 60cm Find the perimeter of each shape The highlighted length is 24cm

  17. This shape has a perimeter of 220cm What is the length of the unmarked side? Each side length is an integer The highlighted length is 40cm 7cm

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