Question

☘QUSETION:

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

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Answer 1

Given:

• A square and a rectangular field with measurements as given in the figure have the same perimeter.

To Find:

• Which field has a larger area?

Solution:

• Here, the perimeter of the rectangular field is the same as the square field.

➡ Perimeter of Rectangular field= Perimeter of Square Field

→ 2(l + b) = 4s

→ 2(80 + b) = 4 * 60

→ 160 + 2b = 240

→ 2b = 240 - 160

→ 2b = 80

➝b = 80/2

➝ 40 m

Now, let's find the Area.

Area of Square = s x s

=> 60 × 60

=> 3600 m²

Area of Rectangle = 1 x b

=> 80 x 40

=> 3200 m²

Since,

=> Area of Square > Area of Rectangle

=> 3600 m² ≥ 3200 m²

Therefore, The Area of Square has a larger area.

__________________

Answer 2

Answer:

Hi hope this helps you have a great day ahead

Step-by-step explanation:

Perimeter of Rectangular field= Perimeter of Square Field

2(l + b) = 4s

2(80 + b) = 4 * 60

160 + 2b = 240

2b = 240 - 160

2b = 80

b = 80/2

40 m

Area of Square = s x s

60 × 60

3600 m²

Area of Rectangle = 1 x b

80 x 40

3200 m²

Since,

Area of Square > Area of Rectangle

= 3600 m² ≥ 3200 m²

Therefore, The Area of Square has a larger area.