An army officer wishes to arrange 4770 soldiers in the form of a square. After arranging he finds that 9 soldiers are left out. Find the number of soldiers in each row.
A square is a closed two-dimensional figure with four sides and four corners. The length of all four sides of a square is equal.
Answer: 69 soldiers are there in each row.
The area of a square is the measure of the space or surface occupied by it. It is equal to the square of its length.
Area of a square = Side × Side
Given: 9 soldiers are left out from a group of 4770 soldiers
Thus, the number of soldiers arranged in form of a square = 4770 - 9 = 4761
Therefore the area of the square = 4761 units2
Now, the number of soldiers in each row is equal to the side of a square.
Side × Side = 4761
Side2 = 4761
Side = √ 4761
Side = 69