Question

The area of a square is 900 cm2 .Find the perimeter of the square.

Answer 1

Answer:

The perimeter of the square = 120cm

Step-by-step explanation:

Given,

The area of a square is 900cm²

To find,

The perimeter of the square

Solution:

Recall the formula

The area of the square = S²

The perimeter of the square = 4S, where S is the side of the square.

Since it is given that area of the square is 900cm² we have

S² =  900cm²

Taking square root on both sides we get,

S = $\sqrt{900} = \sqrt{30X30}$ = 30

Hence side of the square = 30cm

The perimeter of the square = 4S = 4×30 = 120

∴The perimeter of the square = 120cm

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Answer 2

Answer:

120cm is the perimeter of the square.

Step-by-step explanation:

Explanation:

Given that, the area of a square = 900$cm^2$.

• As we know, a square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees.

• The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. The square is then divided in half, with the sides of each half being equal.

Area of square = $side$ × side.

Step 1:

Area of square = 900$cm^2$

⇒ $a^2$ = 900

⇒ a = 30cm

Now, the perimeter of a square = 4a

⇒ 4 × 30 = 120cm

Final answer:

Hence, 120cm is the perimeter of the square.

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