Question

2. Find the area of a square field
which perimeter is
500 m​

Answer 1

Given:

• Perimeter of Square = 500 m

To Find:

• Side?
• Area?

Formula Used:

$\\ \bigstar{\underline{\boxed{\sf{ \orange{Perimeter_{(Square)} } = 4a }}}} \\ \\ \bigstar{\underline{\boxed{\sf{ \green{Area_{(Square)} } = a^2 }}}}$

• a = Side

Solution:

Square is a type of Quadrilateral with all equal sides and equal angles.

After substituting values,

$\implies$ p = 4a

$\implies$ 500 = 4a

$\implies$ 500/4 = a

$\implies$ a = 125 m

Hence,

• The Side of the Square is 125 m.

_____________________

Area of the Square Figure,

$\implies$ a²

$\implies$ a × a

$\implies$ 125 × 125

$\implies$ 15625 m²

Hence,

• The Area of the square Field is 15625 m².

$\bigstar{\underline{\tt\pink{ Formula \ related \ to \ Square :- }}}$

$\\ \bullet \: \: {\sf\red{ Area_{(Square)} = a^2 }} \\ \\ \bullet \: \: {\sf\red{ Perimeter_{(Square)} = 4a }} \\ \\ \bullet \: \: {\sf\purple{ Diagonal_{(Square)} = a \sqrt{2 } }}$