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Composite Shape Perimeter Practice
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Composite Shape Perimeter Practice
Add the lengths around each shape to find its perimeter. For missing lengths, subtract the known lengths from the total. Include units in every answer.
Find missing side lengths
1.A six-sided shape has a perimeter of 34 cm. Five sides measure 7 cm, 5 cm, 8 cm, 4 cm and 6 cm. What is the length of the remaining side?
2.The perimeter of a six-sided shape is 42 m. Its known edge lengths are 11 m, 7 m, 9 m, 5 m and 6 m. Find the length of the sixth edge.
3.A polygon has a total perimeter of 31 cm. Four of its sides are 3 cm, 8 cm, 6 cm and 7 cm. Calculate the length of its fifth side.
Calculate and express perimeter
4.A six-edge composite outline has side lengths 14 cm, 7 cm, 10 cm, 5 cm, 8 cm and 3 cm. Find its perimeter.
5.A six-sided boundary has edges measuring 6 m, 4 m, 9 m, 3 m, 5 m and 8 m. Work out the distance around it.
6.Write an addition expression, then calculate the perimeter of a five-sided outline with edges 8 cm, 3 cm, 6 cm, 5 cm and 4 cm.
Number lines and missing lengths
7.For the shape with perimeter 34 cm and known sides 7 cm, 5 cm, 8 cm, 4 cm and 6 cm, plot the missing side length on the number line.
8.A boundary has a perimeter of 29 cm and its known sides total 21 cm. Show the subtraction on the number line and state the missing length.
9.A garden edge has a total perimeter of 38 m. Five measured edges add to 24 m. On the number line, mark the length of the unmeasured edge.
Perimeter ideas
10.Which calculation is written correctly with consistent units?
- 6 + 8 + 4 = 18 cm
- 6 cm + 8 cm + 4 cm = 18 cm
- 6 m + 8 cm + 4 mm = 18 cm
11.What does the perimeter of a shape describe?
- The space covered inside its boundary
- The total distance along its outside boundary
- The length of its tallest side
12.A shape's perimeter and all but one of its side lengths are known. How can you find the unknown length?
- Subtract the sum of the known lengths from the perimeter
- Multiply the perimeter by the number of sides
- Add the perimeter to the known lengths
Perimeter in everyday settings
13.Ngaio is putting a border around a garden. The border must cover 33 m. Five garden edges measure 7 m, 4 m, 8 m, 5 m and 6 m. How long is the sixth edge?
14.A walking track follows a six-sided playground boundary. Five edge lengths are 18 m, 12 m, 9 m, 14 m and 7 m; the final edge is 11 m. What distance does the track cover?
15.Why should a perimeter answer include a unit such as centimetres or metres?
Challenge
16.A composite outline has a perimeter of 52.5 cm. Five edges are 9.5 cm, 13 cm, 7.5 cm, 8 cm and 10 cm. Find the remaining edge.
17.A four-sided outline has edges of 175 cm, 2.4 m, 65 cm and 1.3 m. Convert all lengths to metres, then calculate the perimeter in metres.
4 printable pages
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