A rectangular feild 15m long and 9m. Width it has apath 1.5m width all around it find the area of the path
total length = 15+3 = 18
total width = 9+3 = 12
so
path area = 12*18 - 9*15
Is this translation correct ?
A rectangular field is 15 m long and 9 m wide.
It has a path 1.5 m wide all around it.
Find the area of the path.
area of field = 15(9) m^2 =....
area of the whole thing = 18(12) m^2 = .....
(make a sketch to see where the 18 and 12 come from)
take the difference to get the area of the path
how i dont get it
To find the area of the path, we first need to calculate the area of the whole field and then subtract the area of the inner rectangular section.
1. Calculate the area of the entire field:
The length of the field is 15m, and the width is 9m.
Area of the field = length × width = 15m × 9m = 135m².
2. Calculate the area of the inner rectangular section:
The path has a width of 1.5m all around the field, which means it reduces both the length and width by 3m (1.5m on each side).
Length of the inner rectangle = Length of the field - 2 × Width of the path = 15m - 2 × 1.5m = 15m - 3m = 12m.
Width of the inner rectangle = Width of the field - 2 × Width of the path = 9m - 2 × 1.5m = 9m - 3m = 6m.
Area of the inner rectangle = Length of the inner rectangle × Width of the inner rectangle = 12m × 6m = 72m².
3. Calculate the area of the path:
Area of the path = Area of the field - Area of the inner rectangle = 135m² - 72m² = 63m².
Therefore, the area of the path is 63 square meters.