Question

The area of a square field is 2401 sq cm. Find its side.​

Answer 1

Answer:

• The side of te square is 49 cm.

Step-by-step explanation:

Given

• The area of the square field is 2401 cm sq.

To find :

The side of the square

• The formula used to find the area of the square is = (side)² units sq.

⇒ (side)² = 2401

⇒ side = √(2401)

∵ side = 49 cm

[By prime factorisation we get, 2401 = 7 * 7 * 7 * 7 = 7⁴]

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More about a square:-

• It is quadrilateral which has four equal sides.
• The four interior angles of the square are the same. Each 90°.
• The formula to find the perimeter of the square is (4 * side) units.
• The diagonals of the square are the same i.e. equal in lengths.
• Diagonal length = (side√2) units

Answer 2

GIVEN :-

• Area of Square field = 2401 sq.cm

TO FIND :-

• The side of the square

SOLUTION :-

The Area of Square is given by ,

$\large {\boxed{ \bf{area \: of \: square = {(s)}^{2} }}}$

Where ,

• s is side of the square

We are given that ,

• Area of square field as 2401 sq.cm

$\tt : \implies \: {(s)}^{2} = 2401 cm {}^{2} \\ \\ \tt : \implies \: s = \sqrt{2401 \: cm {}^{2} } \\ \\ \tt : \implies \: s = \sqrt{49 \times 49 \: (cm \times cm)} \\ \\ \tt : \implies { \underline {\boxed { \bf{s = 49 \: cm}}}} \: \red \bigstar$

∴ The side of the given square field is 49 cm