rectangle and square has the same perimeter of hundred metre find the side of the square if the rectangle has a breadth 2 metre less than the side of a square find the length and area of rectangle
Answers
Step-by-step explanation:
- First find the length of the side of square.
- the breadth of rectangle = 25-2
- to find the length= 50-23(50=half of hundred)
- length=27 m
Hope it helps you
❥ 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