Question

two plots of land have the same perimeter one of the plot is in the same of a square of side off side length 65 m, wild other II is in the same of a rectangle of breath 24m. which cloud has a great area and by how much​

Answer 1

Answer:

• Two plots of land having same perimeter one is in Square shape and another in Rectangle shape.
• Side of Square plot = 65 m
• Breadth of Rectangle plot = 24 m

• Perimeter of both plots are equal :

⇒ Perimeter of Square = Perimeter of Rectangle

⇒ 4 × Side = 2(Length + Breadth)

⇒ 4 × 65 = 2(Length + 24)

⇒ (4 × 65)/2 = (Length + 24)

⇒ 2 × 65 = Length + 24

⇒ 130 = Length + 24

⇒ 130 - 24 = Length

⇒ Length = 106 m

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Area of both the plots –

1. Square Plot = (Side)²

⠀⠀ = (65 m)²

⠀⠀ = (65 m × 65 m)

⠀⠀ = 4225 m²

2. Rectangle plot = (Length × Breadth)

⠀⠀ ⠀ = (106 m × 24 m)

⠀⠀ ⠀ = 2544 m²

∴ Area of Square plot is greater by 1681 m².