Question

Find the side of a square (in metre) and its perimeter (in cm ) when its area is 196 m2 .​

Answer 1

Given:

• Area of square :- 196 m²

To find:

• Sides of square
• Perimeter

Solution:

Area of square = 196 m²

As we know:

★Area of square = (side)²

Putting the values in the formula,

→ (side)² = 196

→ side = √196

→ side = 14 m

• All sides of square = 14 m.

Converting m into cm:-

• 14× 10 = 140 cm

★ Perimeter of square = 4 × side

→ 4 × 140

→ 56 cm

• Perimeter of square= 56 cm.

Hence,

• Sides of square = 14m
• Perimeter of square = 56 cm.

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Answer 2

Given

• Area of the square is 196 m².

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To find

• Side of the square (in meter)
• Perimeter of the square (in cm)

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Solution

• Let the each side of the square be x.

⠀

$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Area\: of\: square\: is\: given\: by}}}$

⠀

★ Area = side × side

⠀

→ Area = 196

→ side × side = 196

→ x² = 196

→ x = √196

→ x = 14 m

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• We get each side of the square is 14m.

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(In cm)

» side = 140cm

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Perimeter\: of\: the\: square}}}$

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★ Perimeter = 4 × side

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→ Perimeter = 4 × x

→ Perimeter = 4 × 140

→ Perimeter = 560 cm

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• We get, perimeter of the square is 560cm.

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Hence,

• Length of each side of the square is 14m.
• Perimeter of the square is 560cm.

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