Describe another method you could use to find the number of white tiles it takes to border a garden 12 green tiles long.
What's your first method?
At a large nursery, a border for a rectangular garden is being built. Designers want the border's length to be 5 ft greater than it's width. A maximum of 180 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.
To find the number of white tiles it takes to border a garden that is 12 green tiles long, we can use a simple mathematical approach.
One method to solve this problem is to visualize the border of the garden. If the length of the garden is given as 12 green tiles, we need to find the number of white tiles needed to form a border around these green tiles.
To visualize this, let's consider a rectangular garden. Since the length is given as 12 green tiles, let's assume that the width is also 12 green tiles for simplicity.
Now, to find the number of white tiles for the border, we need to calculate the perimeter of the garden.
The perimeter of a rectangle is given by the formula: P = 2(length + width).
In this case, the length of the garden is 12 green tiles, so substituting the values into the formula, we have:
P = 2(12 + 12) = 2(24) = 48.
Now, consider that the garden is entirely surrounded by green tiles, and we want to find the white tiles needed to form a border around it. The number of white tiles needed for the border will be equal to the perimeter of the garden.
Therefore, in this scenario, a border around a garden that is 12 green tiles long would require 48 white tiles.
Remember, this method works assuming the garden is a rectangular shape with a width of 12 green tiles and is surrounded by a single layer of white tiles forming a border.