Math, asked by soubhikde13, 2 months ago

find the area of the rectangle whose length is 20 cm and breadth is equal to the perimeter of a square whose area is 9 CM²​

Answers

Answered by mahekbala
0

Answer:

240 sq.cm

Step-by-step explanation:

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Attachments:
Answered by thebrainlykapil
13

Given :-

  • Length of Rectangle = 20cm
  • Breadth of Rectangle is equal to the perimeter of a square whose area is 9cm²

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To Find :-

  • The Area of Rectangle.

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Solution :-

➞ Area of Square = Side × Side

➞ Area of Square = (Side)²

➞ 9 = (Side)²

➞ √9 = Side

3cm = Side

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➞ Perimeter of Square = 4 × Side

➞ Perimeter of Square = 4 × 3

➞ Perimeter of Square = 12cm

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It is given that Breadth of the Rectangle = Perimeter of the Square, so Breadth of the Rectangle is 12cm

➞ Area of Rectangle = Length × Breadth

➞ Area of Rectangle = 12 × 20

➞ Area of Rectangle = 240cm²

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Therefore, The Area of Rectangle is 240cm²

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Additional Info :

Formulas Related to Rectangle :

  • Perimeter of Rectangle = 2( l + b)
  • Area = Length × Breadth
  • Length = Area / Breadth
  • Breadth = Area / Length
  • Diagonal = √(l)² + (b)²

Formulas Related to Square :

  • Perimeter = 4 × Side
  • Area = Side × Side
  • Side of Square = √Area
  • Diagonal = √2 × Side
  • Area = ½ × (Diagonal)²
  • Area = (Perimeter ÷ 4)²

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