The perimeter indicates the distance we will walk if we start from a certain point, complete a full lap, and return exactly to the starting point. For example, if we are asked what the perimeter of the waist is, we will take a tape measure and measure the perimeter from a certain point until completing a full lap and returning to the same point from which we started the measurement. It works exactly the same way in mathematics. The perimeter of any shape is the distance from a specific point back to it after having completely surrounded it. If this is our figure:
Its perimeter will be the distance we cover if we travel along its line from a certain point, and return to it after making a full lap. Imagine that you are surrounding the figure:
Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.
Incorrect
Correct Answer:
38
Practice more now
Units of Measurement for Perimeter
The perimeter is measured in units of mm, cm, or meters, according to what the question states. Generally, most figures are given in units of cm. We can convert the different units of measure in the following way: 1 cm = 10 mm 1 meter = 100 cm
Now we will learn to calculate the perimeter of the most known figures. Are we ready? How is the perimeter calculated in general? All the lengths of the edges (or sides) of the figure are added together. The sum of all the edges is the perimeter.
Perimeter of the Square
a -> Side of the square In the square, all sides are equal, therefore, its perimeter will be 4 times the side a. We will multiply the side of the square by 4.
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Test your knowledge
Question 1
Calculate the perimeter of the trapezoid according to the following data:
Incorrect
Correct Answer:
36
Question 2
Calculate the perimeter of the trapezoid below:
Incorrect
Correct Answer:
30
Question 3
Calculate the perimeter of the trapezoid below:
Incorrect
Correct Answer:
36
Perimeter of the Rectangle
Let's add up the sides of the rectangle. The opposite sides are equal.
Let's add up all the sides of the triangle. In an isosceles triangle it is enough to know the length of the base and one of the two equal sides. In an equilateral triangle it is enough to know the length of one side.
The key to calculating the perimeter of these figures is to add up absolutely all the sides without forgetting any of them. Start on one side, follow the entire round and stop when you reach the same side from which you started.
Let's see an example:
The area is: 4+4+4+5+2+8+2+3=32
Test your knowledge
Question 1
Given the trapezoid:
What is its perimeter?
Incorrect
Correct Answer:
32
Question 2
What is the perimeter of the trapezoid in the figure?
Incorrect
Correct Answer:
24
Question 3
Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.
Incorrect
Correct Answer:
38
What is the difference between perimeter and surface area?
The perimeter is measured in two-dimensional figures that do not have volume, for example, a rectangle
In contrast, the surface area is measured in three-dimensional figures that do have volume, for example, a cylinder or cube.
Examples and exercises with solutions for the perimeter of the parallelogram
Exercise #1
Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.
Video Solution
Step-by-Step Solution
First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.
Therefore, AB is parallel to CD and BC is parallel to AD.
From this we can conclude that AB = CD = 7.
Also: BC = AD = 12.
Finally we can calculate the perimeter by adding all the sides together:
7+7+12+12=14+24=38
Answer
38
Exercise #2
What is the perimeter of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
To find the perimeter we will add all the sides:
4+5+9+6=9+9+6=18+6=24
Answer
24
Examples and exercises with solutions for the perimeter of a trapezoid
Exercise #1
Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.
Video Solution
Step-by-Step Solution
First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.
Therefore, AB is parallel to CD and BC is parallel to AD.
From this we can conclude that AB = CD = 7.
Also: BC = AD = 12.
Finally we can calculate the perimeter by adding all the sides together:
7+7+12+12=14+24=38
Answer
38
Exercise #2
What is the perimeter of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
To find the perimeter we will add all the sides:
4+5+9+6=9+9+6=18+6=24
Answer
24
Examples and exercises with solutions for the perimeter of the triangle
Exercise #1
Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.
Video Solution
Step-by-Step Solution
First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.
Therefore, AB is parallel to CD and BC is parallel to AD.
From this we can conclude that AB = CD = 7.
Also: BC = AD = 12.
Finally we can calculate the perimeter by adding all the sides together:
7+7+12+12=14+24=38
Answer
38
Exercise #2
What is the perimeter of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
To find the perimeter we will add all the sides:
4+5+9+6=9+9+6=18+6=24
Answer
24
Examples and exercises with solutions for the perimeter of the rectangle
Exercise #1
Calculate the perimeter of the parallelogram ABCD, given that CD is parallel to AB.
Video Solution
Step-by-Step Solution
First we need to remember that pairs of opposite sides in a parallelogram are parallel and equal.
Therefore, AB is parallel to CD and BC is parallel to AD.
From this we can conclude that AB = CD = 7.
Also: BC = AD = 12.
Finally we can calculate the perimeter by adding all the sides together:
7+7+12+12=14+24=38
Answer
38
Exercise #2
What is the perimeter of the trapezoid in the figure?
Video Solution
Step-by-Step Solution
To find the perimeter we will add all the sides:
4+5+9+6=9+9+6=18+6=24
Answer
24
Do you know what the answer is?
Question 1
Calculate the perimeter of the trapezoid according to the following data: