Geometry: Perimeter of 2-D shapes

Contributed by:
Diego
The perimeter of 2D Shapes. Sample questions for a better understanding of the concepts along with the solution for self-analysis.
1. Perimeter of 2D
2. Starter: It’s a Match
Task: Match up the name to its shape. There may be more than one answer
as well as some red herrings!
Rectang Parallelogra Trapeziu
Triangle Square
le m m
Extension: Choose a shape and describe its properties using the keywords
vertices, faces and edges, lines of symmetry, parallel, angles.
3. Starter: It’s a Match
- Answers
Triangle
Trapezium
Square
Parallelogram
4. What Is Perimeter?
Pause for Thought
The perimeter of a shape is the total
What is ‘perimeter’?
distance around its edge.
Can you think of a definition?
To calculate the perimeter, we add Pause for Thought
up the lengths of all of its sides. How do we calculate perimeter?
5. When Will I Need Perimeter?
Pause for Thought
Can you think of any real-life Decorating
examples of when you might houses
need to calculate a perimeter?
Building
projects
Farmin
g Wrapping
presents
Fencing off an
area
6. Calculating Perimeter
Calculate the perimeter of this square.
5cm
5+5+5+5=
20cm
or
5 × 4 = 20cm
Too easy? Try this!
Calculate the perimeter of a square where one side is equal to 4 + 2 × 2cm.
8 × 4 = 32cm
7. Calculating Perimeter
Calculate the perimeter of this rectangle.
10cm
10 + 4 + 10 + 4 =
28cm
or
(10 + 4) × 2 = 28cm
Too easy? Try this!
Calculate the perimeter of a rectangle where the width is 5cm and the
length is 0.2m. Give your answer in centimetres.
0.2m = 20cm
(20 + 5) × 2 = 50cm
8. Calculating Perimeter
Calculate the perimeter of this triangle.
8cm
4cm 10 + 8 + 4 = 22cm
10cm
Too easy? Try this!
Calculate the perimeter of an equilateral triangle, which has a side length of
6 × 3 = 18cm
9. Calculating Perimeter
Calculate the perimeter of this parallelogram.
11cm
11 + 7 + 11 + 7 =
7cm 36cm
or
(11 + 7) × 2 = 36cm
Too easy? Try this!
Calculate the perimeter of a parallelogram where the width is 0.15m and
the length is 20cm. Give your answer in centimetres.
0.15m = 15cm
(20 +15) × 2 = 70cm
10. Calculating Perimeter
Calculate the perimeter of this trapezium.
6cm
12 + 7 + 6 + 7 =
7cm 7cm
32cm
12cm
Too easy? Try this!
Calculate the perimeter of a trapezium which has the measurements of
10cm, 8cm, 0.12m and 70mm. Give your answer in centimetres.
0.12m = 12cm
70mm = 7cm
10 + 8 + 12 + 7 = 37cm
11. Calculating Perimeter
What is the total perimeter for the following shape?
3c
m
4c
m 9cm
Pause for Thought
10c
What information is missing?
m
6cm
12c
m
12 + 10 + 3 + 4 + 9 + 6 =
44cm
12.