1225 Plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows.
Question:
1225 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 the number of plants in each row.
Solution:
Let the number of rows be x.
Therefore, the number of plants in each row is also x.
Total number of plants $=(x \times x)=x^{2}=1225$
$x^{2}=1225=5 \times 5 \times 7 \times 7$
$x=\sqrt{1225}=5 \times 7=35$
Thus, the number of rows is 35 and the number of plants in each row is 35.