A garden is edged with landscaping tiles that are 9.2 cm wide. The length of the garden is 6.2 m and the width of the garden is 5.6 m. What is the perimeter of the garden inside the landscaping tiles, to the nearest tenth of a meter?
the width and length are both reduced by 9.2cm on each side, so the new perimeter is
2((6.2-2*.092)+(5.6-2*0.92)) = 19.552 m
To find the perimeter of the garden inside the landscaping tiles, we need to subtract twice the width of the tiles from the length and width of the garden, and then add the resulting values.
Step 1: Convert the width of the garden from meters to centimeters.
The width of the garden is 5.6 m, which is equal to 560 cm (1 m = 100 cm).
Step 2: Subtract twice the width of the tiles from the length and width of the garden.
Length of the garden inside the tiles = 6.2 m - 2 * 9.2 cm = 6.2 m - 18.4 cm = 6.2 m - 0.184 m = 6.016 m
Width of the garden inside the tiles = 560 cm - 2 * 9.2 cm = 560 cm - 18.4 cm = 560 cm - 0.184 m = 5.596 m
Step 3: Calculate the perimeter of the garden inside the tiles.
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (6.016 m + 5.596 m) = 2 * 11.612 m = 23.224 m
Therefore, the perimeter of the garden inside the landscaping tiles is approximately 23.2 meters.
To find the perimeter of the garden inside the landscaping tiles, we need to calculate the combined lengths of all four sides.
First, let's find the lengths of the sides parallel to the length of the garden.
Since there are two sides of length 6.2 m, we can multiply 6.2 m by 2:
6.2 m * 2 = 12.4 m
Now, let's find the lengths of the sides parallel to the width of the garden.
Since there are two sides of length 5.6 m, we can multiply 5.6 m by 2:
5.6 m * 2 = 11.2 m
Now, we need to add all the side lengths to find the perimeter:
12.4 m + 11.2 m + 12.4 m + 11.2 m = 47.2 m
However, we have to take into account the width of the landscaping tiles, which is 9.2 cm or 0.092 m.
Since the tiles are placed on both sides of the garden, we need to subtract the total width of the tiles from the perimeter:
47.2 m - 2 * 0.092 m = 47.2 m - 0.184 m = 47.016 m
Therefore, the perimeter of the garden inside the landscaping tiles is approximately 47.0 meters.