Perimeter of a Parallelogram: Calculate The Missing Side based on the formula

Using the properties of the perimeter of the parallelogramUsing additional geometric shapesUsing variablesApplying the formulaFinding Area based off Perimeter and Vice Versa
Question 1

A parallelogram has a perimeter of 24 cm.

AB = 8

How long is AD?

888DDDAAABBBCCC

Question 2

A parallelogram has a perimeter of 30 cm.

AB = 9 cm

AAABBBDDDCCC9

Calculate the length of the other side.

Question 3

Given the parallelogram whose perimeter is equal to 25 cm and AB=8 cm:

AAABBBDDDCCC8

Calculate the other side.

Question 4

The parallelogram below has a perimeter of 12 cm.

AB = 4 cm

AAABBBDDDCCC4

Calculate the length of the other side.

Question 5

A parallelogram has a perimeter of 60 cm.

AB = 20 cm

AAABBBDDDCCC20

Calculate the length of the other side.

Examples with solutions for Perimeter of a Parallelogram: Calculate The Missing Side based on the formula

Exercise #1

A parallelogram has a perimeter of 24 cm.

AB = 8

How long is AD?

888DDDAAABBBCCC

Video Solution

Step-by-Step Solution

Since each pair of opposite sides are parallel and equal,

AB is parallel to DC and therefore also AB=DC=8

We will use the given perimeter to find AD and BC (which are also equal and parallel to each other)

Let's calculate the perimeter of the parallelogram:

24=2AB+2AD 24=2AB+2AD

24=16+2AD 24=16+2AD

24−16=2AD 24-16=2AD

8=2AD 8=2AD

We'll divide the two sides by 2:

82=2AD2 \frac{8}{2}=\frac{2AD}{2}

AD=4 AD=4

Answer

4 4

Exercise #2

A parallelogram has a perimeter of 30 cm.

AB = 9 cm

AAABBBDDDCCC9

Calculate the length of the other side.

Video Solution

Answer

6

Exercise #3

Given the parallelogram whose perimeter is equal to 25 cm and AB=8 cm:

AAABBBDDDCCC8

Calculate the other side.

Video Solution

Answer

4.5

Exercise #4

The parallelogram below has a perimeter of 12 cm.

AB = 4 cm

AAABBBDDDCCC4

Calculate the length of the other side.

Video Solution

Answer

2

Exercise #5

A parallelogram has a perimeter of 60 cm.

AB = 20 cm

AAABBBDDDCCC20

Calculate the length of the other side.

Video Solution

Answer

10

Question 1

A parallelogram has a perimeter of 45 cm

AB = 15 cm

AAABBBDDDCCC15

Calculate side CD.

Question 2

A parallelogram has a perimeter of 22 cm.

AB = 8 cm

AAABBBDDDCCC8

Calculate the length of side CD.

Question 3

A parallelogram has a perimeter of 70 cm.

AB = 20 cm

AAABBBDDDCCC20

Calculate side CD.

Question 4

A parallelogram has a perimeter of 15 cm.

AB = 5 cm

AAABBBDDDCCC5

Calculate side CD.

Question 5

A parallelogram has a perimeter of 20 cm

AB = 7 cm

AAABBBDDDCCC7

Calculate the length of the other side.

Exercise #6

A parallelogram has a perimeter of 45 cm

AB = 15 cm

AAABBBDDDCCC15

Calculate side CD.

Video Solution

Answer

7.5

Exercise #7

A parallelogram has a perimeter of 22 cm.

AB = 8 cm

AAABBBDDDCCC8

Calculate the length of side CD.

Video Solution

Answer

3

Exercise #8

A parallelogram has a perimeter of 70 cm.

AB = 20 cm

AAABBBDDDCCC20

Calculate side CD.

Video Solution

Answer

15

Exercise #9

A parallelogram has a perimeter of 15 cm.

AB = 5 cm

AAABBBDDDCCC5

Calculate side CD.

Video Solution

Answer

2.5

Exercise #10

A parallelogram has a perimeter of 20 cm

AB = 7 cm

AAABBBDDDCCC7

Calculate the length of the other side.

Video Solution

Answer

3

Question 1

A parallelogram has a perimeter of 40 cm.

AB = 15 cmAAABBBDDDCCC15

Calculate the length of side CD.

Question 2

Shown below is the parallelogram ABCD, which has a perimeter of 35 cm.

What is the length of the side BC?

9.59.59.5AAABBBCCCDDD

Question 3

Given the parallelogram ABCD whose perimeter is equal to 40 cm, it is also known that X=2

According to the data in the drawing, find a AB

3X3X3XAAABBBCCCDDD

Question 4

Calculate the value of x in the parallelogram below.

P = Perimeter

151515xxxp=36

Question 5

Calculate the value of X in the parallelogram below.

P = Perimeter

xxx777p=54

Exercise #11

A parallelogram has a perimeter of 40 cm.

AB = 15 cmAAABBBDDDCCC15

Calculate the length of side CD.

Video Solution

Answer

5

Exercise #12

Shown below is the parallelogram ABCD, which has a perimeter of 35 cm.

What is the length of the side BC?

9.59.59.5AAABBBCCCDDD

Video Solution

Answer

8 cm

Exercise #13

Given the parallelogram ABCD whose perimeter is equal to 40 cm, it is also known that X=2

According to the data in the drawing, find a AB

3X3X3XAAABBBCCCDDD

Video Solution

Answer

14 14

Exercise #14

Calculate the value of x in the parallelogram below.

P = Perimeter

151515xxxp=36

Video Solution

Answer

3

Exercise #15

Calculate the value of X in the parallelogram below.

P = Perimeter

xxx777p=54

Video Solution

Answer

20

Question 1

Calculate X in the parallelogram below.

P = Perimeter

xxxx+1x+1x+1p=42

Question 2

Calculate X in the parallelogram shown below.

P = Perimeter xxx3x3x3xp=20

Question 3

How long is side BC given that the perimeter of the parallelogram is 30 cm?

\( CD=2x \)

2x2x2xAAABBBCCCDDD

Exercise #16

Calculate X in the parallelogram below.

P = Perimeter

xxxx+1x+1x+1p=42

Video Solution

Answer

10

Exercise #17

Calculate X in the parallelogram shown below.

P = Perimeter xxx3x3x3xp=20

Video Solution

Answer

212 2\frac{1}{2}

Exercise #18

How long is side BC given that the perimeter of the parallelogram is 30 cm?

CD=2x CD=2x

2x2x2xAAABBBCCCDDD

Video Solution

Answer

15−2x 15-2x