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Worksheet: Perimeter of a Parallelogram

Q1:

𝐴 𝐡 𝐢 𝐷 is a parallelogram. Given that the perimeter of 𝐴 𝐡 𝐢 𝐷 is 54, find the length of 𝐴 𝐡 .

Q2:

𝐴 𝐡 𝐢 𝐷 is a parallelogram. Given that the perimeter of 𝐴 𝐡 𝐢 𝐷 is 88, find the length of 𝐴 𝐡 .

Q3:

𝐴 𝐡 𝐢 𝐷 is a parallelogram. Given that the perimeter of 𝐴 𝐡 𝐢 𝐷 is 170, find the length of 𝐴 𝐡 .

Q4:

𝐴 𝐡 𝐢 𝐷 is a parallelogram. Given that the perimeter of 𝐴 𝐡 𝐢 𝐷 is 128, find the length of 𝐴 𝐡 .

Q5:

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

Q6:

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

Q7:

Given that 𝐴 𝐡 𝐢 𝐷 is a parallelogram, find π‘š ∠ 𝐷 , π‘š ∠ 𝐴 , and the perimeter of 𝐴 𝐡 𝐢 𝐷 .

  • A π‘š ∠ 𝐷 = 7 2 ∘ , π‘š ∠ 𝐴 = 7 2 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 4 1 c m
  • B π‘š ∠ 𝐷 = 1 0 8 ∘ , π‘š ∠ 𝐴 = 7 2 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 8 2 c m
  • C π‘š ∠ 𝐷 = 7 2 ∘ , π‘š ∠ 𝐴 = 1 0 8 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 4 1 c m
  • D π‘š ∠ 𝐷 = 7 2 ∘ , π‘š ∠ 𝐴 = 1 0 8 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 8 2 c m

Q8:

Given that 𝐴 𝐡 𝐢 𝐷 is a parallelogram, find π‘š ∠ 𝐷 , π‘š ∠ 𝐴 , and the perimeter of 𝐴 𝐡 𝐢 𝐷 .

  • A π‘š ∠ 𝐷 = 1 1 3 ∘ , π‘š ∠ 𝐴 = 1 1 3 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 2 2 c m
  • B π‘š ∠ 𝐷 = 6 7 ∘ , π‘š ∠ 𝐴 = 1 1 3 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 4 4 c m
  • C π‘š ∠ 𝐷 = 1 1 3 ∘ , π‘š ∠ 𝐴 = 6 7 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 2 2 c m
  • D π‘š ∠ 𝐷 = 1 1 3 ∘ , π‘š ∠ 𝐴 = 6 7 ∘ , perimeter of 𝐴 𝐡 𝐢 𝐷 = 4 4 c m

Q9:

In the figure below, both 𝐴 𝐡 𝐢 𝐷 and 𝐻 𝐡 𝐢 𝑂 are parallelograms, and the perimeter of 𝐴 𝐡 𝐢 𝐷 is 55.4 cm. Find the length of 𝑂 𝐻 .

Q10:

In the figure below, both 𝐴 𝐡 𝐢 𝐷 and 𝐻 𝐡 𝐢 𝑂 are parallelograms, and the perimeter of 𝐴 𝐡 𝐢 𝐷 is 26.2 cm. Find the length of 𝑂 𝐻 .

Q11:

Given that 𝐴 𝐡 𝐢 𝐷 is a parallelogram, and the perimeter of β–³ 𝐡 𝐸 𝐢 is 178 cm, determine the length of 𝐸 𝐢 .

Q12:

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

Q13:

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

Q14:

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

Q15:

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

Q16:

The lengths of two adjacent sides of a parallelogram are 8 𝑑 units and 8 𝑐 units. Write an expression for its perimeter.

  • A 2 ( 𝑑 + 𝑐 ) units
  • B ( 8 𝑑 + 8 𝑐 ) units
  • C ( 1 6 𝑑 + 8 𝑐 ) units
  • D 2 ( 8 𝑑 + 8 𝑐 ) units
  • E ( 8 𝑑 + 1 6 𝑐 ) units

Q17:

The lengths of two adjacent sides of a parallelogram are 9 𝑏 units and 9 𝑦 units. Write an expression for its perimeter.

  • A 2 ( 𝑏 + 𝑦 ) units
  • B ( 9 𝑏 + 9 𝑦 ) units
  • C ( 1 8 𝑏 + 9 𝑦 ) units
  • D 2 ( 9 𝑏 + 9 𝑦 ) units
  • E ( 9 𝑏 + 1 8 𝑦 ) units