Question

the general wishes to draw uphis 7500 soldiers in form of a sqaure. After arranging, he found out some of them are left. How many soldiers are left.
its solution is 104 but how please answer it in detail...​

Answer 1

Answer:

104 soldiers

Step-by-step explanation:

If the general wishes to make a square, we can understand that each side must have an equal number of soldiers. Total number of soldiers is 7500 so we can take this as area of the square and we can take one line of soldiers as the side of square.

So by using the formula,

Area = $side^{2}$

7500 = $side^{2}$

$\sqrt{7500}$ = side

side ≈ 86.6 ≈ 86 soldiers (There cannot be a 0.6 soldier)

So this value I have rounded down. This means that the general is attempting to make square of soldiers where each line is of 86 soldiers. But it is said that there are some soldiers left. So if we make a square of 86 soldiers and add the remaining soldiers to it there would be total 7500 soldiers.

So lets take remaining soldiers as x

$86^{2}+x=7500\\7396+x=7500\\x=7500-7396\\x=104$