3. A square and a circular field have the same perimeter. Which field

1.	3. A square and a circular field have the same perimeter. Which field has a larger area?
Answer» ${\Large{\bold{Answer :-}}}$ Side of a square = 60 m (Given) And the LENGTH of rectangular field, L = 80 m (Given) ACCORDING to question, Perimeter of rectangular field = Perimeter of square field 2(l+b) = 4×Side (using formulas) 2(80+b) = 4×60 160+2b = 240 b = 40 Breadth of the rectangle is 40 m. Now, Area of Square field = (side)² = (60)² = 3600 m² And Area of Rectangular field = length×breadth = 80×40 = 3200 m² • Hence, area of square field is larger. Hope it Helps !!

3. A square and a circular field have the same perimeter. Which field has a larger area?

Answer»

${\Large{\bold{Answer :-}}}$

Side of a square = 60 m (Given)

And the LENGTH of rectangular field, L = 80 m (Given)

ACCORDING to question,

Perimeter of rectangular field = Perimeter of square field

2(l+b) = 4×Side (using formulas)

2(80+b) = 4×60

160+2b = 240

b = 40

Breadth of the rectangle is 40 m.

Now, Area of Square field

= (side)²

= (60)² = 3600 m²

And Area of Rectangular field

= length×breadth = 80×40

= 3200 m²

• Hence, area of square field is larger.