Question

A square carromboart have a perimeter of 320 cm. How much is it's area

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

AnswEr:

• Area of the square carrom board is 6,400 Cm².

Given That:

• Perimeter of the square carrom board = 320 Cm.

Need To Find:

• Area of the square carrom board = ?

ExPlanation:

Formula used here:

• Perimeter of square = 4 × Side

Putting the values according to the given formula:

➠ 4 × Side = 320

➠ Side = 320/4

➠ ${\underline{\boxed{\sf{Side = 80\:Cm.}}}}$

• Hence, Side = 80 Cm.

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Again, Formula used here:

• Area of square = Side × Side

Putting the values according to the given formula:

➠ Area of square = 80 × 80

➠ Area of square = ${\underline{\boxed{\sf{6,400\:Cm^2}}}}$

ThereFore:

• Area of the square carrom board is 6,400 Cm².

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Answer 2

Given :

• Perimeter of a square carrom board = 320 cm.

To find :

• Area of carrom board.

Solution :

Let the side of the square carrom board be x cm.

We know,

${\boxed{\bold{Perimeter\:of\: square=4\times\:side}}}$

Here,

• x = side.

According to the question,

$\implies\sf{4x=320}$

$\implies\sf{x=\frac{320}{4}}$

$\implies\sf{x=80}$

• Side = 80 cm.

We know,

${\boxed{\bold{Area\:of\: square=side\times\:side}}}$

$\implies\sf{Area=80\times\:80\:cm^2}$

$\implies\sf{Area=6400\:cm^2}$

Therefore, the area of the square carrom board is 6400 cm².

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Verification :

• Side = 80 cm.
• Perimeter = 320 cm.

Perimeter = 320

→ 4 × 80 = 320

→ 320 = 320 ( Verified )

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