Question

6. The area of a square is 264 cm. Find
(i) the length, (ii) the perimeter,
of the square.

Answer 1

Given :-

• Area of a square is 264 cm²

To find :-

• Length of square
• Perimeter of square

Solution :-

As we know that

→ Area of square = side × side

→ 264 = (side)²

→ side = √264

→ side = 16.2 cm

Hence,

• Length of square is 16.2 cm

Now,

→ Perimeter of square

→ 4 × side

→ 4 × 16.2

→ 64.8 cm

Therefore,

• Perimeter of square is 64.8cm

Answer 2

Given:-

• The area of a square = 264 cm

To Find:-

• The length of the square
• The Perimeter of the square

Solution:-

$\green{ \underline{ \boxed{ \sf{SIDE = \sqrt { area }}}}}$

$\sf side =\sqrt{264}$

$\sf side = \sqrt{ 2\times 2 \times 2 \times 3 \times 11 }$

$\sf side = 2\sqrt{66}$

$\sf{\boxed{\orange{\bold{ side = 2\sqrt{66}}}}}$

$\green{ \underline{ \boxed{ \sf{Perimeter = 4 \times side}}}}$

$\sf perimeter = 4 \times 2\sqrt{66}$

$\sf perimeter = 8 \sqrt{ 66 }$

$\sf{\boxed{\orange{\bold{ perimeter = 8\sqrt{66}}}}}$

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