Question

A general has 11,025 men under him and arranges them into a solid square. How many men are there in each row?

a) 95
b) 105
c) 110
d) 115

Answer 1

The general can arrange 11,025 men into a solid square with exactly 105 men in each row, as 105 squared equals 11,025.

Step-by-step explanation:

The student's question about arranging 11,025 men into a solid square involves finding the number of men in each row, which is a mathematical problem of finding the square root of the given number. To solve this problem, we look for a perfect square that is closest to 11,025. The perfect squares closest to this number are:

• 952 = 9,025
• 1052 = 11,025
• 1102 = 12,100
• 1152 = 13,225

As we can see, 1052 equals exactly to 11,025. Therefore, the general would be able to arrange his men into a square with 105 men in each row.