a 20 m by 15 m lawn is surrounded by a concrete path 2.5 m wide. Find the area of the a) lawn b) lawn and path c) path
the new length = 20 m + 2(2.5)m = 25 m
the new width = ...
area of lot including the path = ..
area of law = 20x15 m^2 = 300 m^2
path = (lot including path) - 300 m^2
there you go, all set for the arithmetic
To find the area of the lawn, we need to subtract the area of the path from the total area.
a) Area of the lawn:
The length of the lawn is 20 m and the width is 15 m. Therefore, the area of the lawn is given by:
Area = Length × Width
= 20 m × 15 m
= 300 square meters
b) Area of the lawn and path:
To calculate the area of the lawn and the path combined, we need to add the area of the lawn to the area of the path. The path surrounds the lawn on all sides, so when calculating the length and width of the combined area, we must add twice the width of the path to the length and width of the lawn.
Length of the lawn and path = Length of the lawn + 2 × Width of the path
= 20 m + 2 × 2.5 m
= 20 m + 5 m
= 25 m
Width of the lawn and path = Width of the lawn + 2 × Width of the path
= 15 m + 2 × 2.5 m
= 15 m + 5 m
= 20 m
So, the area of the lawn and path combined is:
Area = Length × Width
= 25 m × 20 m
= 500 square meters
c) Area of the path:
To calculate the area of the path, we need to subtract the area of the lawn from the area of the lawn and path combined.
Area of the path = Area of the lawn and path - Area of the lawn
= 500 square meters - 300 square meters
= 200 square meters
Therefore, the area of the path is 200 square meters.