This is a diagram of a lawn with a concrete path, width 3m, all the way around. The lawn is 8m long and 6m wide
Find the area
To find the area of the lawn, we need to subtract the area of the concrete path from the total area of the entire shape.
The total area of the shape is the area of the lawn plus the area of the concrete path.
The area of the lawn is 8m x 6m = 48 square meters.
The area of the concrete path is the area of the larger rectangle minus the area of the smaller rectangle.
The larger rectangle is 14m x 12m = 168 square meters.
The smaller rectangle is 8m x 6m = 48 square meters.
Therefore, the area of the concrete path is 168 square meters - 48 square meters = 120 square meters.
Finally, to find the area of the lawn, we subtract the area of the concrete path from the total area of the shape: 168 square meters - 120 square meters = 48 square meters.
Therefore, the area of the lawn is 48 square meters.
To find the area of the lawn, we need to subtract the area of the concrete path from the total area.
The total area of the lawn is given by:
Total area = Length × Width
Given that the length of the lawn is 8m and the width is 6m:
Total area = 8m × 6m
Total area = 48 square meters
Now, to find the area of the concrete path, we need to subtract the area of the inner lawn from the area of the outer shape.
The outer shape is a rectangle with length (8m + 2 × 3m) and width (6m + 2 × 3m), which accounts for the concrete path on both sides of the lawn.
Length of outer shape = 8m + 2 × 3m = 14m
Width of outer shape = 6m + 2 × 3m = 12m
The area of the outer shape is given by:
Area of outer shape = Length × Width = 14m × 12m = 168 square meters
The inner shape is the lawn itself, which has a length of 8m and width of 6m.
Area of the inner shape = Length × Width = 8m × 6m = 48 square meters
Finally, we can find the area of the concrete path by subtracting the area of the inner shape from the area of the outer shape:
Area of concrete path = Area of outer shape - Area of inner shape
Area of concrete path = 168 square meters - 48 square meters
Area of concrete path = 120 square meters
Therefore, the area of the lawn is 48 square meters, and the area of the concrete path is 120 square meters.
To find the area of the lawn, we need to calculate the total area of the rectangular lawn and subtract the area of the concrete path.
1. Calculate the area of the lawn:
The length of the lawn is 8m and the width is 6m.
Area of the lawn = length × width = 8m × 6m = 48 square meters.
2. Calculate the area of the concrete path:
The path surrounds the entire lawn and has a width of 3m.
To find the length and width of the path, we need to subtract twice the width of the path from the overall length and width of the lawn:
Length of the path = Length of the lawn + (2 × Width of the path) = 8m + (2 × 3m) = 8m + 6m = 14m
Width of the path = Width of the lawn + (2 × Width of the path) = 6m + (2 × 3m) = 6m + 6m = 12m
Area of the concrete path = Length of the path × Width of the path = 14m × 12m = 168 square meters.
3. Calculate the area of the lawn by subtracting the area of the concrete path from the total lawn area:
Area of the lawn = Total area - Area of the concrete path = 48 square meters - 168 square meters = -120 square meters.
It seems that the calculated area of the lawn is negative. This indicates that there might be an error in the information provided. Please double-check the dimensions and ensure they are accurate.