Perimeter of a Trapezoid: Applying the formula

Finding Area based off Perimeter and Vice VersaUsing variablesComparison between 2 of the same shape with an identical perimeterCalculate The Missing Side based on the formula
Question 1

What is the perimeter of the trapezoid in the figure?

444555999666

Question 2

Look at the trapezoid in the diagram.

101010777121212777

What is its perimeter?

Question 3

Given an isosceles trapezoid, calculate its perimeter

666101010121212AAABBBCCCDDD

Question 4

Look at the trapezoid in the figure.

The long base is 1.5 times longer than the short base.

Find the perimeter of the trapezoid.

222333555

Question 5

If X=3

Calculate the perimeter of the trapezoid

XXX101010X+1X+1X+16+X6+X6+XAAABBBCCCDDD

Examples with solutions for Perimeter of a Trapezoid: Applying the formula

Exercise #1

What is the perimeter of the trapezoid in the figure?

444555999666

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 4+5+9+6=9+9+6=18+6=24

Answer

24

Exercise #2

Look at the trapezoid in the diagram.

101010777121212777

What is its perimeter?

Video Solution

Step-by-Step Solution

In order to calculate the perimeter of the trapezoid we must add together the measurements of all of its sides:

7+10+7+12 =

36

And that's the solution!

Answer

36

Exercise #3

Given an isosceles trapezoid, calculate its perimeter

666101010121212AAABBBCCCDDD

Video Solution

Step-by-Step Solution

Since this is an isosceles trapezoid, and the two legs are equal, we can state that:

AB=CD=6 AB=CD=6

Now let's add all the sides together to find the perimeter

6+6+10+12= 6+6+10+12=

12+22=34 12+22=34

Answer

34

Exercise #4

Look at the trapezoid in the figure.

The long base is 1.5 times longer than the short base.

Find the perimeter of the trapezoid.

222333555

Video Solution

Step-by-Step Solution

First, we calculate the long base from the existing data:

Multiply the short base by 1.5:

5×1.5=7.5 5\times1.5=7.5

Now we will add up all the sides to find the perimeter:

2+5+3+7.5=7+3+7.5=10+7.5=17.5 2+5+3+7.5=7+3+7.5=10+7.5=17.5

Answer

17.5

Exercise #5

If X=3

Calculate the perimeter of the trapezoid

XXX101010X+1X+1X+16+X6+X6+XAAABBBCCCDDD

Video Solution

Step-by-Step Solution

To calculate the perimeter, we add up all the sides:

10+x+(6+x)+(x+1) 10+x+(6+x)+(x+1)

Now, given that x equals 3, we substitute in the appropriate places:

10+3+(6+3)+(3+1)= 10+3+(6+3)+(3+1)=

10+3+9+4= 10+3+9+4=

13+13=26 13+13=26

Answer

26

Question 1

Calculate the perimeter of the trapezoid according to the following data:

777101010777121212AAABBBCCCDDD

Question 2

What is the perimeter of the trapezoid in the figure?

7.57.57.54441.51.51.5333

Question 3

Look at the trapezoid in the figure.

Calculate its perimeter.

2.52.52.510.410.410.45.35.35.3666

Question 4

AB = 5

CD = 7

AC = 4

BD = 4

Calculate the perimeter of the rectangle.

555444777444AAABBBDDDCCC

Question 5

AB = 10.5

CD = 13

AC = 7.5

BD = 7.5

Calculate the perimeter of the rectangle ABCD.

10.510.510.57.57.57.51313137.57.57.5AAABBBDDDCCC

Exercise #6

Calculate the perimeter of the trapezoid according to the following data:

777101010777121212AAABBBCCCDDD

Video Solution

Answer

36

Exercise #7

What is the perimeter of the trapezoid in the figure?

7.57.57.54441.51.51.5333

Video Solution

Answer

16

Exercise #8

Look at the trapezoid in the figure.

Calculate its perimeter.

2.52.52.510.410.410.45.35.35.3666

Video Solution

Answer

24.2

Exercise #9

AB = 5

CD = 7

AC = 4

BD = 4

Calculate the perimeter of the rectangle.

555444777444AAABBBDDDCCC

Video Solution

Answer

20

Exercise #10

AB = 10.5

CD = 13

AC = 7.5

BD = 7.5

Calculate the perimeter of the rectangle ABCD.

10.510.510.57.57.57.51313137.57.57.5AAABBBDDDCCC

Video Solution

Answer

38.5

Question 1

Given the trapezoid:

444999666131313

What is its perimeter?

Question 2

Below is an isosceles trapezoid:

101010121212666 What is its perimeter?

Question 3

The drawing shows an isosceles trapezoid.

What is its perimeter?

333555777

Question 4

Look at the trapezoid in the figure.

Express the perimeter of the trapezoid using the given variables.

5X5X5X3X3X3XZZZ3Y3Y3Y

Question 5

The trapezoid below is isosceles.

AB = 20

CD = 25

BD = 8

Calculate its perimeter.

202020888252525AAABBBDDDCCC

Exercise #11

Given the trapezoid:

444999666131313

What is its perimeter?

Video Solution

Answer

32

Exercise #12

Below is an isosceles trapezoid:

101010121212666 What is its perimeter?

Video Solution

Answer

34

Exercise #13

The drawing shows an isosceles trapezoid.

What is its perimeter?

333555777

Video Solution

Answer

20

Exercise #14

Look at the trapezoid in the figure.

Express the perimeter of the trapezoid using the given variables.

5X5X5X3X3X3XZZZ3Y3Y3Y

Video Solution

Answer

8X+3Y+Z

Exercise #15

The trapezoid below is isosceles.

AB = 20

CD = 25

BD = 8

Calculate its perimeter.

202020888252525AAABBBDDDCCC

Video Solution

Answer

61

Question 1

Shown below is an isosceles trapezoid.

Calculate its perimeter using x and/or y.

XXX3X3X3X4Y4Y4Y2Y2Y2Y

Question 2

A trapezoid is shown in the figure.

Calculate the perimeter of the trapezoid given that the missing side is 30% longer than the given side.

888101010151515

Question 3

The height of the isosceles trapezoid ABCD is 10 cm.

AB = 15 cm

CD = 19 cm

Calculate the perimeter of the trapezoid.

151515191919101010AAABBBDDDCCC

Exercise #16

Shown below is an isosceles trapezoid.

Calculate its perimeter using x and/or y.

XXX3X3X3X4Y4Y4Y2Y2Y2Y

Video Solution

Answer

13X

Exercise #17

A trapezoid is shown in the figure.

Calculate the perimeter of the trapezoid given that the missing side is 30% longer than the given side.

888101010151515

Video Solution

Answer

46

Exercise #18

The height of the isosceles trapezoid ABCD is 10 cm.

AB = 15 cm

CD = 19 cm

Calculate the perimeter of the trapezoid.

151515191919101010AAABBBDDDCCC

Video Solution

Answer

34+2104 34+2\sqrt{104} cm