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
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Answer:
240 sq.cm
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Given :-
- Length of Rectangle = 20cm
- Breadth of Rectangle is equal to the perimeter of a square whose area is 9cm²
To Find :-
- The Area of Rectangle.
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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