2601 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and number of plants in each way?
Answers
Step-by-step explanation:
Let the number of rows be x
Thus, the each row contains x plants.
The total number of plants in the garden = number of rows × number of plants in each rows
Thus,
2025=x×x
=>x
2
=2025
=>x=
2025
=
3×3×3×3×5×5
=3×3×5
=45
Thus, there are 45 rows and each row contains 45 plants.
Given,
Total number of plants = 2601
Each row contains as many plants as the number of rows.
To find,
Several rows and several plants in each row.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the number of rows = x
So,
Number of plants in each row = the number of rows = x
Now,
Total number of plants = Number of rows × number of plants in each row = x × x = x²
According to the data mentioned in the question,
x² = 2601
x = √2601
x = 51 (answer of the previous square root could be -51 also, but the number of plants cannot be a negative number, that's why -51 is omitted and +51 is accepted in this case)
Hence, there are 51 rows and 51 plants in each row.