A rectangular garden dimensions 30m by 20m and is divided into 4 parts by two pathways that run perpendicular from its side. One pathways has a width 8dm and 7dm. What is the total useble area of the garden?
50m is the total length of the paths, but that was not the question.
30m*20m = 600m^2
you don't say which path runs the length and which the width. If the wider path is the longer, then the area used up by the paths is
.8*30 + .7*20 - .8*.7 = 37.44
So, that leaves 600-37.44 = 562.56 m^2 for the garden.
If the wider path is the shorter one, then change the numbers accordingly.
50m
To find the total usable area of the garden, we need to calculate the area of each of the four parts separately and then subtract the area of the pathways.
1. Calculate the area of the garden:
The garden is rectangular with dimensions of 30m by 20m.
Area of the garden = length × width = 30m × 20m = 600 square meters.
2. Calculate the area of the pathways:
The pathways divide the garden into four parts. Let's calculate the areas of the two smaller rectangular parts created by the pathways.
First pathway:
Width = 8dm = 0.8m
The length of the first smaller rectangular part is 30m, while its width is 0.8m.
Area of the first smaller part = length × width = 30m × 0.8m = 24 square meters.
Second pathway:
Width = 7dm = 0.7m
The length of the second smaller rectangular part is 20m, while its width is 0.7m.
Area of the second smaller part = length × width = 20m × 0.7m = 14 square meters.
3. Calculate the total area of the pathways:
Total area of the pathways = Area of the first smaller part + Area of the second smaller part
Total area of the pathways = 24 square meters + 14 square meters = 38 square meters.
4. Calculate the total usable area of the garden:
Total usable area of the garden = Area of the garden - Total area of the pathways
Total usable area of the garden = 600 square meters - 38 square meters = 562 square meters.
Therefore, the total usable area of the garden is 562 square meters.
To find the total usable area of the garden, we first need to calculate the area of the entire garden and then subtract the areas of the pathways.
The dimensions of the garden are given as 30m by 20m, so the area of the garden is:
Area of garden = length x width
= 30m x 20m
= 600 square meters
Next, let's calculate the area of the pathways. Since the pathways are perpendicular, they divide the garden into four equal parts.
The first pathway has a width of 8dm, which is equivalent to 0.8m. So, the area of the first pathway is:
Area of first pathway = width x length of garden
= 0.8m x 20m
= 16 square meters
The second pathway has a width of 7dm, which is equivalent to 0.7m. So, the area of the second pathway is:
Area of second pathway = width x length of garden
= 0.7m x 30m
= 21 square meters
Since there are four equal parts in the garden, the total area of the pathways will be:
Total area of pathways = (Area of first pathway + Area of second pathway) x 4
= (16 square meters + 21 square meters) x 4
= 148 square meters
Finally, we can find the usable area of the garden by subtracting the total area of the pathways from the area of the garden:
Usable area of garden = Area of garden - Total area of pathways
= 600 square meters - 148 square meters
= 452 square meters
Therefore, the total usable area of the garden is 452 square meters.