Vishnu planted 20 new trees along a rectangular field and cut all old trees.if the trees are planted at a distance of 1m from each other.what are the possible dimensions of the field?
well, what are the integer divisors of 20?
That will give the number of trees across and down.
But that is not the answer to the question.
To find the possible dimensions of the field, we first need to determine the number of trees that can fit along one side of the rectangular field.
Since the trees are planted at a distance of 1 meter from each other, we can assume that they form a continuous line along one side of the field.
Let's call the length of the field "L" and the width "W". We can assume that L is greater than or equal to W.
If there are 20 trees along one side of the field, then the total distance covered by the trees is 20 meters. Since the trees are planted at a distance of 1 meter from each other, we can say that the length of the field is L = 20 + (20 - 1) = 39 meters.
Now, let's consider possible values for the width of the field, W.
If we assume the width of the field to be 1 meter, it means the length would be equal to 39 meters. This fits the condition as we have 20 trees along one side of the field.
If we assume the width to be 2 meters, we would have 20 + 2 = 22 meters covered by the trees. Since this is less than the total length of 39 meters, it is possible to have a field with a width of 2 meters.
Similarly, we can continue increasing the width and see if it satisfies the condition.
To summarize, the possible dimensions of the rectangular field are as follows:
- Length: 39 meters (fixed)
- Width:
- 1 meter
- 2 meters
- 3 meters
- ...
- 19 meters
- 20 meters
Please note that L can have only one value, which is 39 meters, and W can vary from 1 to 20 meters.