MathematicsFreePrintable
Polygons and Perimeter
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Polygons and Perimeter
Name each polygon and find perimeters by adding the lengths around its outside edge. Include your working where space is provided.
Polygons and basic perimeter
1.Match each description to the correct polygon name.
- A polygon with 3 sides
- A polygon with 4 equal sides and 4 square corners
- A polygon with 5 sides
- A polygon with 4 sides and 4 square corners, with opposite sides equal and adjacent sides unequal
- Rectangle
- Pentagon
- Triangle
- Square
2.A square has sides of 6 cm. Find its perimeter.
3.A triangle has side lengths 4 cm, 7 cm and 9 cm. What is its perimeter?
4.A rectangular table is 11 cm long and 5 cm wide. Calculate the distance around its edge.
Perimeter in joined shapes and everyday situations
5.An L-shaped flower bed has outside edges measuring 9 m, 3 m, 5 m, 2 m, 4 m and 5 m. How many metres of edging are needed to go all the way around it?
6.A 12 m by 5 m rectangle has a 3 m by 3 m square joined along one 3 m side, with no overlap. Draw the joined shape and find the perimeter of its outside boundary.
7.Tick every task where you would need the perimeter.
- Choosing enough carpet to cover a floor
- Putting skirting boards around the edge of a room
- Measuring ribbon to go around a photo frame
- Working out how much water fills a pool
Using algebra to describe perimeter
8.A rectangle has width x cm and length (x + 3) cm. Write a simplified expression for its perimeter.
9.For the rectangle with width x cm and length (x + 3) cm, find the perimeter when x = 5.
10.A pentagon has three sides of length x cm and two sides of length (2x + 1) cm. Its perimeter is 31 cm. Write an equation and solve for x.
11.A rectangular paddock has a width of x metres and a length twice its width. Write a simplified expression for the total length of fencing needed.
12.Draw a polygon with four sides. Label its sides x cm, x cm, 4 cm and 4 cm, then write its perimeter as a simplified expression.
3 printable pages
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