A path 3m wide surrounds a rectangular garden 15m wide and 18m long.What is the perimeter ?
15 + 6 = 21 m
18 + 6 = 24 m
P = 2L + 2W
P = (2 * 21) + (2 * 24)
P = ________
To find the perimeter of the path, you need to add the lengths of all four sides of the path.
The garden is a rectangle with a width of 15m and a length of 18m. To find the dimensions of the larger rectangle that includes the path, you need to add 2 times the width of the path to both the length and width of the garden.
Since the path surrounds the garden on all four sides, the length and width of the larger rectangle can be calculated as follows:
Length of the larger rectangle = Length of the garden + 2 × Width of the path = 18m + 2 × 3m = 18m + 6m = 24m
Width of the larger rectangle = Width of the garden + 2 × Width of the path = 15m + 2 × 3m = 15m + 6m = 21m
Now that we have the dimensions of the larger rectangle, we can calculate the perimeter by adding all four sides:
Perimeter = Length + Width + Length + Width
Perimeter = 24m + 21m + 24m + 21m
Perimeter = 90m
Therefore, the perimeter of the path is 90m.