Question

The perimeter of a rectangle of length 50 cm and breadth 30 cm is equal to the perimeter of a square. What is the length of the side of that square​

Answer 1

$\huge{\colorbox{pink}{αɳรωҽɾ}}$

ɢɪᴠᴇɴ,

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sϙᴜᴀʀᴇ = ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ

ʟᴇɴɢᴛʜ ᴏғ ʀᴇᴄᴛᴀɴɢʟᴇ=50ᴄᴍ

ʙʀᴇᴀᴛʜ " " =30ᴄᴍ

ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ = 2(ʟ+ʙ)

=2(50+30)

=160ᴄᴍ

ʟᴇᴛ ᴛʜᴇ sϙᴜᴀʀᴇ ʙᴇ ✘

ᴘᴇʀɪᴍᴇᴛᴇʀ = 4x

ғʀᴏᴍ ɢɪᴠᴇɴ,

4x=160

x=160/4

=40

ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ sɪᴅᴇ ᴏғ ᴛʜᴇ ᴏɴᴇ sɪᴅᴇ sϙᴜᴀʀᴇ ɪs 50ᴄᴍ

Answer 2

Answer:

The length of the each side of the square is 40cm.

Step-by-step explanation:

Question says that, the perimeter of a rectangle of dimensions 50cm × 30cm is equal to the perimeter of a square. Find the length of the side of that square.

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Step 1 : Finding the perimeter of the rectangle :

Perimeter of a rectangle is given by :

→ 2(length + breadth)

→ 2(50 + 30)

→ 2(80)

→ 160cm

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Step 2 : Finding the side of the square :

Given :

Perimeter of the square = Perimeter of the rectangle

Or,

→ 160 = 4 × each side

[∵ Perimeter of a square is 4 × each side ]

→ 160/4 = each side

→ 40 = each side.

∴ Each side of the square is 40 cm.

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