33. A rectangle and a square have the same perimeter 100 cm. Find the side of the square.Find the side of the square. If the rectangle has a breadth 2cm less than that of the square. Find the breadth, length and area of the rectangle.
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Answer:
The perimeter of rectangle = 2(l + b). Perimeter and Area of the Square: Perimeter of square = 4 × S. Area of square = S × S.
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❥ Given Data :
- Perimeter of Rectangle = 100 m
- Perimeter of Square = 100 m
- Rectangle has a breadth 2 m less than that of the Square
❥ To Find :
- Side of the Square
- Length of the Rectangle
- Area of the Rectangle
❥ Answer :
- Length of Rectangle = 27 m
- Area of Rectangle = 621 m²
❥ Step by Step Explanation :
Perimeter of Rectangle = Perimeter of Square = 100 m
✿ First Let's Find Side of Square
➸ Perimeter of Square = 100 m
➸ 4 × Side = 100 m
➸ Side of Square = 25 m
✿ Now Let's Find Breadth of Rectangle
➸ Breadth of Rectangle = Side of Square - 2 m
➸ Breadth of Rectangle = 25 m - 2 m
➸ Breadth of Rectangle = 23 m
✿ Now Let's Find Length of Rectangle
➸ Perimeter of Rectangle = 2 × (Length + Breadth)
➸ 100 m = 2 × (Length + Breadth)
➸ 100 m = 2 × (Length + 23 m)
➸ 100 m = 2 × (Length) + 46 m
➸ 100 m - 46 m = 2 × (Length)
➸ 54 m = 2 × (Length)
➸ Length of Rectangle = 27 m
✿ Now Let's Find Area of Rectangle
➸ Area of Rectangle = Length × Breadth
➸ Area of Rectangle = 27 m × 23 m
➸ Area of Rectangle = 27 × 23 m²
➸ Area of Rectangle = 621 m²
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