Question

a group of1536 cadets wanted to have a parade forming a square design.Is it possible ?If it is not possible how many more cadets would be required?​

Answer 1

It is not possible for a group of 1536 cadets to have a parade forming a square design.

• To form a square design there must be equal number of rows and columns of cadets in the parade formation.
• So, the number of cadets must be a perfect square of some natural number.
• If we do the square root of 1536 we get, 39.19, therefore 1536 is not a perfect square and hence, square formation is not possible.
• The square of the nearest higher natural number to 39.19 is 1600, so more 64(1600-1536) cadets would be required for square formation.

Answer 2

It is possible to form square design with 384 cadets in each row.

Step-by-step explanation:

Since we have given that

Number of group of cadets = 1536

We need to find the number of cadets that would be required to form a square design.

So, Perimeter of square design = 1536

So, it becomes

$4\times side=1536\\\\Side=\dfrac{1536}{4}\\\\Side=384$

Hence, it is possible to form square design with 384 cadets in each row.

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a group of 1536 cadets wanted to have a parade forming a square design . is it possible ?if it is not possible how many more cadets would be required ?​

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