a black 8" tile was cut to surround a white 8" tile. what is the perimeter of the design?
bht 4
To find the perimeter of the design, we need to calculate the sum of all the sides.
Let's assume the edge length of both the black and white tiles is 8 inches.
The black tile is cut to surround the white tile, so the black tile will form an outer square and the white tile forms an inner square.
The outer square will have sides equal to the edge length of the black tile (8 inches), and the inner square will have sides equal to the edge length of the white tile (also 8 inches).
To find the perimeter of the design, we need to calculate the sum of all the sides of both squares.
The perimeter of a square can be calculated by multiplying the length of one side by 4.
For the outer square:
Perimeter of the outer square = 4 * (Edge length of the black tile)
= 4 * 8 inches
= 32 inches
For the inner square (white tile):
Perimeter of the inner square = 4 * (Edge length of the white tile)
= 4 * 8 inches
= 32 inches
Now, to find the perimeter of the design, we add the perimeters of both squares.
Perimeter of the design = Perimeter of outer square + Perimeter of inner square
= 32 inches + 32 inches
= 64 inches
Therefore, the perimeter of the design is 64 inches.
To find the perimeter of the design, we need to know the dimensions of the black tile and the white tile in order to determine the dimensions of the overall design.
Since both the black tile and the white tile are 8" in diameter, we have a square shape for both.
If the black tile was cut to surround the white tile, it means that the black tile essentially became a border around the white tile. Assuming the black tile was cut evenly around the white tile, the border will have the same width on all sides.
Let's assume the width of the border (black tile) is x inches.
Since the white tile is 8" in diameter, its sides will be 8" each. To find the dimensions of the overall design, we add twice the width of the border to the dimensions of the white tile.
So, the length and width of the overall design would be:
Length: 8" (white tile length) + x (border width) + x (border width) = 8" + 2x
Width: 8" (white tile width) + x (border width) + x (border width) = 8" + 2x
To find the perimeter, we add up all the sides of the design:
Perimeter = Length + Length + Width + Width
Perimeter = (8" + 2x) + (8" + 2x) + (8" + 2x) + (8" + 2x)
Perimeter = 4(8" + 2x)
Therefore, the perimeter of the design is 4 times the sum of the original length of the white tile (8") and twice the border width (2x).
make a sketch , then count up the sides
multiply by 8