bruno's rectangular garden measures 12 meters by 9 meters.he filled up a 1-meter pathaway around the border of the garden with pebbles what is the area covered by the pebbles
To find the area covered by the pebbles, we need to subtract the area of the garden from the area of the garden plus the path.
The area of the garden is length times width, or 12 meters times 9 meters, which equals 108 square meters.
The area of the garden plus the path is the length of the garden plus twice the width of the path, times the width of the garden plus twice the width of the path.
So, the length of the garden plus the path is 12 + 2(1) = 14 meters, and the width of the garden plus the path is 9 + 2(1) = 11 meters.
Therefore, the area of the garden plus the path is 14 meters times 11 meters, which equals 154 square meters.
Finally, we need to subtract the area of the garden from the area of the garden plus the path:
154 square meters - 108 square meters = 46 square meters
Therefore, the area covered by the pebbles is 46 square meters.
To find the area covered by the pebbles, we need to subtract the area of the garden from the area of the entire rectangular space, including the pathway.
1. Calculate the area of the garden:
Area = Length * Width
Area = 12 meters * 9 meters
Area = 108 square meters
2. Calculate the area of the entire rectangular space:
Since the pathway is 1 meter wide on all sides, we need to add 2 meters to both the length and width of the garden.
Length = 12 meters + 2 meters + 2 meters = 16 meters
Width = 9 meters + 2 meters + 2 meters = 13 meters
Area = Length * Width
Area = 16 meters * 13 meters
Area = 208 square meters
3. Calculate the area covered by the pebbles:
Area covered by the pebbles = Area of the entire rectangular space - Area of the garden
Area = 208 square meters - 108 square meters
Area = 100 square meters
Therefore, the area covered by the pebbles is 100 square meters.
To find the area covered by the pebbles, we need to calculate the difference between the area of the entire garden and the area of the garden excluding the 1-meter path.
1. Calculate the area of the entire garden:
Area = Length x Width
Area = 12 meters x 9 meters
Area = 108 square meters
2. Calculate the area of the garden excluding the 1-meter path:
To calculate this, we need to subtract the area of the inner rectangle from the area of the outer rectangle.
Length of the inner rectangle = (Length of outer rectangle) - 2 x (Width of the path)
Length of the inner rectangle = 12 meters - 2 x 1 meter
Length of the inner rectangle = 12 meters - 2 meters
Length of the inner rectangle = 10 meters
Width of the inner rectangle = (Width of outer rectangle) - 2 x (Width of the path)
Width of the inner rectangle = 9 meters - 2 x 1 meter
Width of the inner rectangle = 9 meters - 2 meters
Width of the inner rectangle = 7 meters
Area of the inner rectangle = Length x Width
Area of the inner rectangle = 10 meters x 7 meters
Area of the inner rectangle = 70 square meters
3. Calculate the area covered by the pebbles:
Area covered by pebbles = Area of the entire garden - Area of the garden excluding the path
Area covered by pebbles = 108 square meters - 70 square meters
Area covered by pebbles = 38 square meters
Therefore, the area covered by the pebbles is 38 square meters.