Perimeter
Perimeter
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Perimeter is the shortest possible distance all the way around a shape. It can be measured in any unit of length such as feet, meters (m), centimeters (cm), etc. It can also be measured in non-standard units such as hand span and footsteps. For example, if you walk around your house recording the number of footsteps you take, the amount counted is the perimeter of your house in footsteps. You could do the same to your room or anything you like.
This diagram shows Ms. Malcolm's yard. It is in the shape of a rectangle. She wants to fence it to keep her dog from going out and bite anyone.
As you can see, the long side measures 10m and the short side measures 8m. That means she will have to buy enough wire to cover two sides of 10m and two sides of 8m. Therefore, she will have to buy 10m + 8m + 10m + 8m.
Can you find the perimeter of the following shapes?
Can you find the perimeter of the following shapes?
P = _____ + _____ + _____ + _____
P = _____ + _____ + _____ + _____
= _____
= _____
P = _____ + _____ + _____ + _____
P = _____ + _____ + _____ + _____
= _____
= _____
P = _____ + _____ + _____
P = _____ + _____ + _____
= _____
= _____
Lesson 2
Lesson 2
Lesson 3
Lesson 3
Read the information about each of the following shapes then find the perimeter. You can draw the shape.
1. A rectangular piece of cheese is 9 centimeters long and 5 centimeters wide. What is its perimeter?
2. A square ice cream box has sides that are 19 feet long. What is the perimeter of the ice cream box?
3. A rectangular table is 14 centimeters long and 12 centimeters wide. What is its perimeter?
4. A rectangular match box is 6 centimeters long and 9 centimeters wide. What is its perimeter?
5. An equilateral triangle has sides 11 mm. What is its perimeter?
Lesson 4
Lesson 4
Do you remember?
Do you remember?
A regular polygon is any polygon with all its sides equal. For example, a square, equilateral triangle and rhombus are all regular polygons.
To find the perimeter of a regular polygon all that you do is to add the length of all it's sides. If you want, you can also multiply the number of sides by the length of any side since all the sides are the same.
This square has 4 sides each measuring 14 yards (yd).
P = 14 + 14 + 14 + 14
= 56 yd
If you decide to use multiplication then the calculation would be as follows:
P = 4 x 14
= 56 yd
This octagon has 8 sides each measuring 6 inches (in). Can you use both methods to find its perimeter?
Method 1
P = _____ + _____ + ____ + _____ + _____ + _____ + _____ + ____
= _____ in
Method 2
P = _____ x _____
= _____ in
What is the perimeter of these shapes?
What is the perimeter of each of these regular shapes?
1. A rhombus with sides 13 cm.
P =______________________
= ______
2. A pentagon with sides 20 m.
P =______________________
= ______
3. A nonagon with sides 10 m.
P =______________________
= ______
4. An equilateral triangle with sides 15 in.
P =______________________
= ______
5. A hexagon with sides 30 m.
P =______________________
= ______
6. What is the perimeter of Mr. Pierre's yard if it's in the shape of a regular heptagon with sides 135 m?
P =______________________
= ______
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