Perimeter of Square

Perimeter of Square

Total covering or outer length of a closed plane figure is called the perimeter of the figure. A square is a quadrilateral or a four sided plane figure having its all sides equal and each angle 90°. Therefore the sum of the lengths of all four sides of a square is the perimeter of square.

In a square, all four sides are equal and the measure of the side is taken as the length(l) of the square. In the given figure; ABCD is a square and AB, BC, CD and AD are its four equal sides.

Length of the square ABCD = AB = BC = CD = AD = l

Perimeter of the square ABCD = AB+BC+CD+AD

                                                  = l + l + l + l

                                                  = 4l

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Hence the perimeter of the square is given by the formula:

Perimeter = 4l

Also, the length of diagonal of the square is given by

Workout Examples

Example 1: Find the perimeter of the given plane figure.

Solution: Here,

                          The given figure is a square of length (l) = 8cm

                         ∴  Perimeter = 4l

                                               = 4 × 8cm

                                               = 32cm

Example 2: A square garden is 35m long, calculate: (a) Perimeter of the garden. (b) The length of the rope required to surround it to 5 times.

Solution: Here,

                          The length of the square garden (l) = 35cm

                         ∴  Perimeter of the garden = 4l

                                                                       = 4 × 35m

                                                                       = 140cm

                         Length of rope required to surround 5 times = 5 × perimeter of garden

                                                                                                      = 5 × 140m

                                                                                                      = 700m

You can comment your questions or problems regarding the perimeter of square here.