Test
Perimeter
This test develops perimeter calculations for squares, rectangles, triangles and other simple figures. Pupils add all side lengths, find a missing side and use units of length correctly.
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Sample questions
- The rectangle depicted in the drawing, find its perimeter.
- The square depicted in the drawing, find its perimeter.
- The rectangle depicted in the drawing, find one of its sides if the perimeter is ___ and the other side is ___.
- The square depicted in the drawing, find one of its sides if the perimeter is ___.
Perimeter of a shape
Perimeter is the complete distance around a closed shape. It is calculated by adding the lengths of all sides. Because perimeter is a length, the answer is written in centimetres, metres or another unit of length, not in square units.
Rectangles and squares
Opposite sides of a rectangle have equal lengths, so its perimeter can be calculated with P = 2 × (a + b). All four sides of a square are equal, so its perimeter is P = 4 × a. Each formula is a shorter way to represent addition of all sides.
How can an unknown side be found?
If the perimeter of a rectangle and one side are known, first subtract the lengths of both known opposite sides from the perimeter. The remaining length belongs to two equal sides, so divide it by 2. A side of a square is found by dividing its perimeter by 4. Add the resulting sides again to check that they give the original perimeter.
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