Question

If the perimeter of a square is 60 m , then its area is

a. 125 m2

b. 225 m2

c. 625 m​

Answer 1

Answer :-

• The area of square is 225m².

[ Option. b. 225 ]

Step-by-step explanation:

To Find :-

• The area of square

Solution:

Given that,

• The perimeter of square = 60m.

As we know that,

Perimeter of square = 4 × side,

➝ 4 × side = 60

➝ side = [ 60 ÷ 4 ]m

➝ side = 15m.

According the question,

• The area of square

As we know that,

Area of square = (side)²,

➝ (side)²

➝ (15m)²

➝ (15m × 15m)

➝ (15 × 15) m²

➝ 225m²

Hence, The area of Square is 225m².

Formula used :-

• Perimeter of square = 4 × side
• Area of Square = (side)².

Answer 2

Answer :

Explanation :

Question:-

If the perimeter of a square is 60m,then it's area will be:-

a. 125m²

b. 225m²

c. 625m²

Answer:-

In order to find the correct answer (option),we firstly have to sum out the above question.

Then:-

Given :-

• The given figure is a square.

• The perimeter of the square is 60m.

To find :-

Area of the square.

Process :-

∴ We know that:-

$⇒Perimeter of square = 4 \times side$

Inserting the formula in the above sum:-

$⇒ Perimeter = 4× side \\ \\ ⇒60 = 4× side \\ \\ ⇒4 × side = 60 \\ \\ ⇒Side = \frac{60}{4} \\ \\ ⇒Side = 15m$

∴ We can conclude that each side of the square is 15m.

Area formula of square:-

$⇒Area = Side × Side$

∴ Area of square with side of 15m :-

$⇒Area = Side × Side \\ \\ ⇒Area = 15 × 15 \\ \\ ⇒Area = 225 {m}^{2}$

Required Answer:-

Area of the square = 225m²

∴ We can conclude that the option b - 225m² is the correct answer to the question.

★More to know

➔ More formulas:-

• Area of rectangle = Length × Breadth

• Area of square = Side × Side

• Area of triangle = 1/2 × Base × Height

• Perimeter of rectangle = 2 × ( L + B )

• Perimeter of square = 4 × Side

• Perimeter of triangle = Sum of all sides / 2

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Hope it helps you...

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