Question

Sameer plants 7225 plants so that there are as many rows as there are trees in a row. How many trees are there in a row? (a) 75 (b) 95 (c) 85 (d) 65

Answer 1

Answer:

Option c)

85

The Number of trees in a row are 85.

Step-by-step explanation:

Given:

Plants = 7225

Trees in a row = Number of rows

To find :

Trees in each row

Solution :

Let the number of trees in a row be as y

As Trees in a row = Number of rows, number of rows is also y

★ Total trees = Number of trees × number of rows

$\longrightarrow$ 7225 = y × y

$\longrightarrow$ 7225 = y²

$\longrightarrow$ y = $\sqrt{7225}$

Prime Factorisation of 7225 -

$\begin{array}{r|l}5 & 7225 \\\cline{1-2} 5 & 1445 \\\cline{1-2} 17 & 289 \\ \cline{1-2}17 & 17 \\\cline{1-2} & 1 \end{array}$

$\longrightarrow$ y = 5 × 17

$\longrightarrow$ y = 85

$\therefore$ The Number of trees in a row are 85.