Page 148 - ICSE Math 5
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Perimeter of rectangle PQRS = PQ + QR + RS + SP
                                                  = length + breadth + length + breadth

                                                  = (2 × length) + (2 × breadth)
                                                  = 2 × (length + breadth)

                                            Perimeter of a rectangle = 2 × (length + breadth)

                                                                      = 2 × (l + b)

                    Example 2:  Find the perimeter of a rectangle whose length is 12 cm and breadth is 7 cm.

                    Solution:     Length (l) = 12 cm and Breadth (b) = 7 cm.
                                                                                                      12 cm
                                   Perimeter of the rectangle = 2 × (l + b)

                                                                 = 2 × (12 cm + 7 cm)
                                                                                          7 cm                      7 cm
                                                                 = 2 × 19 cm = 38 cm

                                  So, the perimeter of the given rectangle is 38 cm.                  12 cm
                    Example 3:  If the length of a rectangular swimming pool is twice its breadth and its breadth is
                                  12 m, find the perimeter of the swimming pool.

                    Solution:     Breadth of the swimming pool (b) = 12 m                 A     l = 2 × 12 m   B
                                  Length of the swimming pool (l) = 2 × breadth
                                                                                                                 b = 12 m
                                                                    = 2 × 12 m = 24 m
                                   Perimeter of the swimming pool = 2 × (l + b)          D                    C

                                                                          = 2 × (24 m + 12 m)
                                                                        = 2 × 36 m = 72 m

                                  So, the perimeter of the swimming pool is 72 m.

                    Perimeter of a Square
                                                                                                          Side
                    A square is a simple closed figure whose all 4 sides are of equal              D               E
                    lengths.

                    In the square DEFG given alongside, sides DE, EF, FG and GD are equal.
                                                                                               Side                  Side
                    Perimeter of square DEFG = DE + EF + FG + GD
                                                = Side + Side + Side + Side
                                                                                                   G                F
                                                = 4 × Side                                                Side


                                                     Perimeter of a square = 4 × Side

                    We can also find the length of one side of a square if we know the perimeter of that particular
                    square using the formula mentioned below.

                                                                          Perimeter
                                                       Side of a square =
                                                                               4


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