Perimeter Practice Questions

Last Updated : 24 Oct, 2026

Perimeter is defined as the total length of all the sides of a closed figure. It is measured in units of length, such as meters, centimeters, or inches.

Solved Examples

Example 1: Find the perimeter of a square with a side length of 5 meters.

Solution:

Given,

  • Side of Square(a) = 5 m

Perimeter of Square(P) = 4a

P = 4(5)

P = 20 m

Thus, the perimeter of the square is 20 m.

Example 2: Find the perimeter of a rectangle with a length of 10 meters and a width of 5 meters.

Solution:

Given,

  • Length of Rectangle(l) = 10 m
  • Breadth of Rectangle(b) = 5 m

Perimeter of Rectangle(P) = 2(l+b)

P = 2(10+5)

P = 30 m

Thus, the perimeter of the rectangle is 30 m.

Example 3: Find the perimeter of a triangle with side lengths 3 meters, 4 meters, and 5 meters.

Solution:

Given,

  • First Side (a) = 3 m
  • Second Side (b) = 4 m
  • Third Side (c) = 5 m

Perimeter of Triangle (P) = a + b + c

P = 3 + 4 + 5

P = 12 m

Thus, the perimeter of the triangle is 12 m

Example 4: Find the perimeter (circumference) of a circle with a radius of 7 meters.

Solution:

Given,

  • Radius of Circle(r) = 7 m

Circumference of Circle(C) = 2Ï€r

C = 2×22/7×7

C = 44 m

Thus, the circumference of the circle is 44 m.

Example 5: Find the perimeter of a trapezium with bases 6 meters and 8 meters and height 4 meters.

Solution:

Given,

  • Base of Trapezoid, b1 = 6 m and b2 = 8 m
  • Height of Trapezoid(h) = 4 m

Perimeter of Trapezium(P) = (b1 + b1) + 2h

P = (6+8) + 2(4)

P = 22 m

The Perimeter of the Trapezum is 22 m.

Practice Questions

Question 1: A rectangle has a perimeter of 54 cm and a length of 17 cm. Find its breadth.

Question 2: A triangular field has sides measuring 18 m, 24 m, and 30 m. Calculate the total distance around the field.

Question 3: A square photo frame has a side length of 22 cm. Find the total length of the border needed to cover its four sides.

Question 4: A regular hexagonal garden has each side measuring 12 m. How much fencing is required to enclose the garden.

Question 5: A rectangular field measures 45 m by 30 m. A gate of width 5 m is left unfenced. How much fencing is required to enclose the remaining boundary.

Question 6: A rectangular garden has a perimeter of 150 m. Its length exceeds its breadth by 15 m. Find the length and breadth of the garden.

Answer Key :

  1. 10
  2. 72 m
  3. 88 cm
  4. 8 cm
  5. 145 m
  6. Length = 45 m, breadth = 30 m
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