Question Details

A square field has its area equal to 324 m2. The perimeter of the field is:

Options

A

36m

B

72m

C

18m

D

6561m

Show Answer

Correct Answer :

Option B

72m

Solution :

The correct option is 72m.

To find the perimeter of a square field, we first need to determine the length of one of its sides from the given area.

Let a represent the side length of the square field.
The formula for the area of a square is given by:

Area=a2

We are given that the area of the field is 324 m2. Substituting this value into the formula:

a2=324

Taking the square root of both sides to find the side length a:

a=324

a=18 m

Now that we have the side length of the square field, we can calculate its perimeter.
The formula for the perimeter of a square is:

Perimeter=4×a

Substituting a=18 m into the perimeter formula:

Perimeter=4×18

Perimeter=72 m

Thus, the perimeter of the square field is 72 m.

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