Question

# A gardener has $1000$ plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

Open in App
Solution

## Let's find the minimum number of extra plants he needs :Let the number of rows and columns be $x$.Total number of plants $={x}^{2}$${x}^{2}=1000$$x=\sqrt{1000}$We note that ${\left(31\right)}^{2}<1000>{\left(32\right)}^{2}$It is clear that $1000$ is $\left(124-100\right)24$ less than ${\left(32\right)}^{2}$∴ Hence, $24$ more plants are needed.

Suggest Corrections
23
Explore more