Question

urgent!!!!!


please do refer to the attachment above..
Plz solve it step by step
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Answer 1

Given:

• A gardener wants to plant 1100 saplings in a row such that the number of saplings in each row are the same as the number of rows.

• he finds out that 11 saplings are extra in this process

To Find:

• The number of rows in the garden

understanding the question:

Here, we have said that a gardener has 1100 saplings with him and he wants to plant in such way that the number of plants in each row equal to the total number of row and 11 saplings exceed. So let's frame an equation accordingly to find the number of rows

Solution:

❍ Let the number of plants in each row and number of rows be X

So,

$\longrightarrow \tt x \times x + 11 = 1100 \\ \\ \\\longrightarrow \tt {x}^{2} + 11 = 110 0 \: \: \: \: \: \\ \\ \\ \longrightarrow \tt {x}^{2} = 1100 - 11 \: \: \: \: \\ \\ \\ \longrightarrow \tt {x}^{2} = 1089 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt \: x = \sqrt{1089} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow { \boxed{\tt {x = 33} \bigstar}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence,

• There are 33 number of row respectively

Verification,

• Now let's substitute the value of 33 in the place of x and check weather it satisfies the condition

$\longrightarrow \tt 33 \times 33 + 11 = 1100 \\ \\ \\ \longrightarrow \tt 1089 + 11 = 1100 \: \: \: \: \: \\ \\ \\ \longrightarrow \tt 1100 = 1100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

${ \pink{ \huge{ \sf{ \dag \: hence \: verified}}}}$

Answer 2

★Given:

• A gardener wants to plant 1100 saplings in a row such that the number of saplings in each row are the same as the number of rows.
• extra saplings = 11ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

★To Find:

The number of rows in the garden

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

★Solution:

Let the number of plants in each row and number of rows be x.

$\begin{gathered}\implies \sf x \times x + 11 = 1100 \\ \\ \\ \implies \sf {x}^{2} + 11 = 1100 \: \: \: \: \: \\ \\ \\ \implies \sf {x}^{2} = 1100 - 11 \: \: \: \: \\ \\ \\ \implies \sf {x}^{2} = 1089 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \implies \sf \: x = \sqrt{1089} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \implies { \boxed {\pmb {\sf {\purple{x = 33}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{gathered}$

$\sf {Therefore , \; No. \; of \; rows \; = 30 }$