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Finding Unknown Perimeter Lengths
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Finding Unknown Perimeter Lengths
Work out each perimeter or missing side. Show your calculations and include the correct units.
Squares and Perimeters
1.A square has a perimeter of 44 cm. What is the length of one side?
2.A square patio has a perimeter of 52 metres. Find the length of each side.
3.A square tile has a perimeter of 32 cm. How long is each side?
- 6 cm
- 8 cm
- 16 cm
- 128 cm
Composite Shapes and Missing Sides
4.A polygon has a perimeter of 41 cm. Five of its side lengths are 7 cm, 6 cm, 4 cm, 9 cm and 5 cm. What is the length of its sixth side?
5.A rectangle measuring 9 cm by 5 cm has a square with side length 3 cm attached along one complete 3 cm section of its 5 cm side. Find the perimeter of the combined shape.
6.A four-sided shape has side lengths 7 cm, x cm, 6 cm and 11 cm. Its perimeter is 35 cm. Write an equation and solve for x.
Perimeter in Everyday Situations
7.A rectangular dog run is 14 m long and 9 m wide. One 9 m side is along a shed, so no fence is needed there. How many metres of fencing are needed for the other three sides?
8.Mila has 96 cm of trim to make a square border. If she uses all the trim and the sides are equal, how long is each side?
9.A six-sided garden boundary has a total perimeter of 68 m. Five sides measure 18 m, 14 m, 9 m, 11 m and 7 m. Find the missing side and show how you worked it out.
10.A rectangle has a perimeter of 54 cm and a length of 17 cm. Use the perimeter to calculate its width. Show your reasoning.
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