Worksheet: Perimeter of a Parallelogram

In this worksheet, we will practice finding the perimeter of a parallelogram and constructing an algebraic expression that indicates this perimeter.

Q1:

Given that is a parallelogram, find , , and the perimeter of .

• A , , perimeter of
• B , , perimeter of
• C , , perimeter of
• D , , perimeter of

Q2:

In the figure below, both and are parallelograms, and the perimeter of is 55.4 cm. Find the length of .

Q3:

Given a rectangle with sides 8 and 3, and a parallelogram with sides 2 and 5, what is the difference in their perimeters?

Q4:

The lengths of two adjacent sides of a parallelogram are units and units. Write an expression for its perimeter.

• A units
• B units
• C units
• D units
• E units

Q5:

is a parallelogram. Given that the perimeter of is 54, find the length of .

Q6:

Calculate the perimeter of a parallelogram having side lengths of 39 cm and 5 cm.

Q7:

One side of a parallelogram is 2, and its perimeter is 70. Determine the length of the other side.

Q8:

Given that is a parallelogram, and the perimeter of is 178 cm, determine the length of .

Q9:

is a parallelogram. Given that the perimeter of is 88, find the length of .

Q10:

is a parallelogram. Given that the perimeter of is 170, find the length of .

Q11:

is a parallelogram. Given that the perimeter of is 128, find the length of .

Q12:

Given a rectangle with sides 5 and 8, and a parallelogram with sides 7 and 5, what is the difference in their perimeters?

Q13:

Given that is a parallelogram, find , , and the perimeter of .

• A , , perimeter of
• B , , perimeter of
• C , , perimeter of
• D , , perimeter of

Q14:

In the figure below, both and are parallelograms, and the perimeter of is 26.2 cm. Find the length of .

Q15:

Calculate the perimeter of a parallelogram having side lengths of 10 cm and 6 cm.

Q16:

Calculate the perimeter of a parallelogram having side lengths of 47 cm and 31 cm.

Q17:

The lengths of two adjacent sides of a parallelogram are units and units. Write an expression for its perimeter.

• A units
• B units
• C units
• D units
• E units