Question

5. Area of a square is 100 m². What is its perimeter ?
(A) 40 m
(B) 100 m
(C) 140 m
(D) 400 m​

Answer 1

Required Answer :

Given -

• Area of the Square = 100 m²

To Find -

• Perimeter of the Square

Formulae Used -

• Area of Square = side × side

• Perimeter of Square = 4 × side

Solution -

To find the Perimeter of the Square, first of all we need to find out the Side of the Square, and to do so we need to find out the Square Root of 100, so let's do it!

√100 = side

10 m = side

Verification :

10 × 10 = 100

Hence, Verified!

Now we have the Side of the Square, let's find out the Perimeter then$!$

Perimeter of Square = 4 × side

Perimeter of Square = 4 × 10

Perimeter of Square = 40 m

∴ Perimeter of the Square is 40 m, so the required option is a) 40 m.

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Basic Formulae related to Square :

Perimeter of Square = 4 × side

Area of Square = side × side

Note : We can also write the formula Area of Square = side × side as Area of Square = ( side )²

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Answer 2

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Gíɪᴠᴇɴ -

Aʀᴇᴀ ᴏғ ᴛʜᴇ Sϙᴜᴀʀᴇ = 100 ᴍ²

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Tᴏ Fíɴᴅ -

Pᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ Sϙᴜᴀʀᴇ

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Sᴏʟᴜᴛíᴏɴ -

Aʀᴇᴀ ᴏғ Sϙᴜᴀʀᴇ = Sɪᴅᴇ × Sɪᴅᴇ

Pᴇʀɪᴍᴇᴛᴇʀ ᴏғ Sϙᴜᴀʀᴇ = Sᴜᴍ ᴏғ ᴀʟʟ ᴛʜᴇ sɪᴅᴇs

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ : Aʀᴇᴀ ᴏғ ᴀ sϙᴜᴀʀᴇ : A= (x)² , ᴡʜᴇʀᴇ x ɪs ᴛʜᴇ sɪᴅᴇ ᴏғ ᴛʜᴇ sϙᴜᴀʀᴇ.

Tᴏ ғɪɴᴅ x , ᴡᴇ ᴛᴀᴋᴇ sϙᴜᴀʀᴇ ʀᴏᴏᴛ ᴏɴ ʙᴏᴛʜ sɪᴅᴇs , ᴡᴇ ᴡɪʟʟ ɢᴇᴛ

$x=\sqrt{A}x=$

A

, ᴡʜᴇʀᴇ A = ᴀʀᴇᴀ ᴏғ ᴛʜᴇ sϙᴜᴀʀᴇ (1)

Wᴇ ᴀʀᴇ ɢɪᴠᴇɴ ᴛʜᴀᴛ : Tʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ sϙᴜᴀʀᴇ ғɪᴇʟᴅ ɪs 100 ᴍ².

Pᴜᴛ A = 100 ɪɴ (1) , ᴡᴇ ɢᴇᴛ

$x=\sqrt{100}=10x= 100$

=10

Sᴏ , ᴛʜᴇ sɪᴅᴇ ᴏғ sϙᴜᴀʀᴇ ғɪᴇʟᴅ ɪs 10 ᴍ.

Pᴇʀɪᴍᴇᴛᴇʀ ᴏғ sϙᴜᴀʀᴇ = 4(sɪᴅᴇ) = 4(10)= 40 ᴍ

Hᴇɴᴄᴇ, ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sϙᴜᴀʀᴇ ғɪᴇʟᴅ ɪs 40 ᴍ.

$\bf \pink{ The \: correct \: option \: is \: ( A ) \: 40m.}$

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