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

2416=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

Calculate the value of x in the parallelogram below.

P = Perimeter

151515xxxp=36

Video Solution

Answer

3

Exercise #3

A parallelogram has a perimeter of 70 cm.

AB = 20 cm

AAABBBDDDCCC20

Calculate side CD.

Video Solution

Answer

15

Exercise #4

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 #5

Calculate the value of X in the parallelogram below.

P = Perimeter

xxx777p=54

Video Solution

Answer

20

Exercise #6

A parallelogram has a perimeter of 60 cm.

AB = 20 cm

AAABBBDDDCCC20

Calculate the length of the other side.

Video Solution

Answer

10

Exercise #7

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 #8

A parallelogram has a perimeter of 15 cm.

AB = 5 cm

AAABBBDDDCCC5

Calculate side CD.

Video Solution

Answer

2.5

Exercise #9

A parallelogram has a perimeter of 22 cm.

AB = 8 cm

AAABBBDDDCCC8

Calculate the length of side CD.

Video Solution

Answer

3

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

Exercise #11

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 #12

A parallelogram has a perimeter of 40 cm.

AB = 15 cmAAABBBDDDCCC15

Calculate the length of side CD.

Video Solution

Answer

5

Exercise #13

A parallelogram has a perimeter of 45 cm

AB = 15 cm

AAABBBDDDCCC15

Calculate side CD.

Video Solution

Answer

7.5

Exercise #14

A parallelogram has a perimeter of 30 cm.

AB = 9 cm

AAABBBDDDCCC9

Calculate the length of the other side.

Video Solution

Answer

6

Exercise #15

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 #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

152x 15-2x