Math, asked by Anonymous, 13 days ago

perimeter of a square and a rectangle is same. if the side of the square is 15cm and one side of the rectangle is 18 cm, find the other side of the rectangle?​

Answers

Answered by Anonymous
1375

ɢɪᴠᴇɴ ᴛʜᴀᴛ:

  • Perimeter of a square and a rectangle is same. if the side of the square is 15cm and one side of the rectangle is 18 cm.

ᴛᴏ ꜰɪɴᴅ:

  • The other side of the Rectangle

ꜱᴏʟᴜᴛɪᴏɴ:

 \text{Perimeter \: of \: Square =} \tt\bf\red{4 × Side}

{\bf{Perimeter (Square) = 4 × 15 cm}}

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀⠀⠀⠀⠀⠀⠀⠀ = 60 cm

 \\ \\

 {\bf{Perimeter \: of \: Rectangle=}} \tt\bf\red{2 × (Length + Breadth)}

ATQ,

  • Perimeter of Rectangle = 2×(L+B)

[Since perimeter of Rectangle and Square was Same:]

  • 60cm = 2 (L+B)
  • 60cm = 2 (18+B)
  • 60/2 = (18 + B)
  • 30 = (18 + B)
  • B = 30 - 18
  • Breadth = {\bf\blue{12 cm}}

 \\ \\

hєncє, thє σthєr ѕídє σf thє rєctαnglє íѕ 12cm.

______________________________________

\tt\bf\green{Verification :}

Perimeter of Rectangle = 2 (12 + 18)

60 cm = 2 (12+18)

60 cm = 2× 30

60 cm = 60 cm

 \boxed{\bf{Since \: LHS = RHS \: our \: calculation \: is \: Correct ✓}}

Answered by ItzAshleshaMane
24

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