Question

find the length of each side of a square field whose area is 6084 sq. m. (solve with step by step) ​

Answer 1

78 m

Step-by-step explanation:

Given,

The area of square = 6084 sq.m

Let the length of each side = x

We know that ,

Area of square = side × side

According to the problem ,

$x \times x = 6084$

${x}^{2} = 6084$

$x = \sqrt{6084}$

$x = 78$

Therefore , The length of each side is 78 m.

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Answer 2

Given:

A square with -

• Area = 6084

What To Find:

We have to find -

• The side of the square.

How To Find:

To find we have to -

• First, use the formula to find the area of the square.
• Next, by substituting the values solve the equation.
• Then, find the value by solving the equation.

Formula Needed:

→ Area = Side²

Solution:

Using the formula,

→ Area = Side²

Substitute the values,

→ 6084 = Side²

Take the square to LHS,

→ √6084 = Side

Find the square root of 6084,

→ 78 m = Side

Verification:

We know that -

→ Area = Side²

Substitute the values,

→ 6084 = 78²

Find the square of 78,

→ 6084 = 6084

∵ LHS = RHS

∴ Hence, verified.

Final Answer:

∴ Thus, the length of each side of a square is 78 m.