the perimeter of a rectangle and square are seemed the length and breadth of the rectangle are 50 cm and 34 CM respectively find w

2 thoughts on “the perimeter of a rectangle and square are seemed the length and breadth of the rectangle are 50 cm and 34 CM respectively find w”

1. Given :

   • The perimeter of a rectangle and square are same.
   • Length of Rectangle = 50cm
   • Breadth of Rectangle = 34cm

   [tex] \\ [/tex]

   To Find :

   • Which figure has greater area and by how much.

   [tex] \\ [/tex]

   Solution :

   ✰ In this question, it is given that the perimeter of a rectangle and square are same and length and breadth of the rectangle are 50cm and 34cm respectively and we have to find which figure has greater area and by how much. Now, firstly we will find the side of the square after that we will find the Area of Square and Area of Rectangle separately . After getting the both the Areas, we will substract the smaller area from the bigger area to find whose area is bigger.

   ⠀

   ⠀⠀⟼⠀⠀Both have same perimeter

   ⠀⠀⟼⠀⠀4 × side = 2(Length + Breadth)

   ⠀⠀⟼⠀⠀4 × side = 2(50 + 34)

   ⠀⠀⟼⠀⠀4 × side = 2 × 84

   ⠀⠀⟼⠀⠀side = 2 × 84/4

   ⠀⠀⟼⠀⠀side = 168/4

   ⠀⠀⟼⠀⠀side = 42cm

   ⠀

   Thus Side of Square is 42cm

   ___________________

   Area of Rectangle :

   • Area = Length × Breadth
   • Area = 50 × 34
   • Area = 1700cm²

   Thus Area of Rectangle is 1700cm²

   ___________________

   Area of Square :

   • Area = (side)²
   • Area = side × side
   • Area = 42 × 42
   • Area = 1764cm²

   Thus Area of Square is 1764cm²

   ___________________

   Finding the Difference :

   • Area of Square – Area of Rectangle
   • 1764 – 1700
   • 64cm

   Therefore, Area of Square is bigger then Area of Rectangle by 64cm

   ___________________

   Reply

2. Given :

   • The perimeter of a rectangle and square are same.

   • Length of Rectangle = 50cm

   • Breadth of Rectangle = 34cm

   To find :

   • Find which figure has greater area and by how much.

   Solution :

   • In the question it is given That perimeter of Rectangle and square are same. So, Firstly we will find the side of the square By using Perimeter of Rectangle = Perimeter of square 2 (L + B) = 4 × Side. Then, we will get the required Side of the Square.

   • Then, we need to find which figure has greater area and by how much. We will find the Area of rectangle and square And then we will get which figure has the greatest area.

   Perimeter of rectangle = Perimeter of square

   → 2 (L + B) = 4 × Side

   → 2 (50 + 34) = 4 × side

   → 2 × 84 = 4 × side

   → 168 = 4 × side

   → side = 168/4

   → side = 42.

   Area of Rectangle = L × B

   → 50 × 34

   → 1700cm²

   Area of Square = (side)²

   → (42)²

   → 1764cm²

   1764 – 1700 = 64

   ∴ The area of square Is greater than area of rectangle By 64 cm.

   __________________

   Reply