a rectangular garden 30 m by 40 m has two paths of equal width crossing through it as shown. Find the width of each path if the total area covered by the path is 325 M^2 (m squared)
help
We can't do this without a figure showing the path locations, or a clear explanation of the situation.
Please help me with the problem: A rectangular garden 30 m by 40 m has two paths of equal width crossing through it. Find the width of each path if the total area coverd by the paths is 325 m^2.
what is a answer
To find the width of each path, we need to break down the problem into smaller steps. Let's assume the width of each path is "x" meters.
Step 1: Calculate the area of the rectangular garden:
The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 40 meters and the width is 30 meters. Therefore, the total area of the rectangular garden is 40 * 30 = 1200 square meters.
Step 2: Calculate the area of the two paths:
There are two paths crossing through the garden, so we need to find the combined area of both paths. The total area covered by both paths is given as 325 square meters.
Step 3: Calculate the area of each individual path:
Since the width of both paths is equal, we can divide the total area of the paths by 2 to find the area of each individual path. So, the area of each path is 325 / 2 = 162.5 square meters.
Step 4: Calculate the total width of the paths:
The width of each path can be found by dividing the area of each path by the length of the garden. So, the width of each path is 162.5 / 40 = 4.0625 meters.
Step 5: Verify the result:
To verify that the calculation is correct, we can multiply the width of each path (4.0625 meters) by the length of the garden (40 meters) and then multiply it by 2 (as there are two paths). The result should be equal to the total area covered by the paths, which is 325 square meters.
4.0625 * 40 * 2 = 325
325 = 325
Therefore, the width of each path is approximately 4.0625 meters.