The given figure shows a rectangular garden with dimensions of 16m by 20m. The garden has 6 identical flower beds. What is the perimeter of a single flower bed ? 

The given figure shows a rectangular garden with dimensions of 16m by 20m. The garden has 6 identical flower beds. What is the perimeter of a single flower bed ?  16 m 20 m

Dear Student
The solution to your question is as follows:

The length of the rectangular garden = 20 m
The breadth of the rectangular garden = 16 m

Let Length of flower bed = l
Let Breadth of flower bed = b

From the figure, breadth of rectangular garden = 2*length of the flower bed  (Since flower beds are identical)
                                 => 16 = 2l
                                 => l = 8 cm
Hence length of flower bed = 8 cm

Also from the figure, Length of rectangular garden = 2*length of flower bed + breadth of the flower bed
                                        => 20 = 2l + b
                                        => 20 = 16 + b
                                        => b = 20 - 16 = 4 cm
Hence breadth of flower bed = 4 cm

Now perimeter of one flower bed = 2(l+b) = 2(8+4) = 24 cm

Hence perimeter of one flower bed = 24 cm

Regards