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

1 answer

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.