Question

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

Answer 1

Answer:

Perimeter of square=4*side

• 4*60=360

Perimeter of Sq. =perimeter of rectangle

2*(l+b)= 360

B=180-140

B=80

Area of sq.=side Sq.

60 *60=3600

Area of rectangle=l*b=80*80=6400

Therefore Are of rectangle is greater than area of square.

Answer 2

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

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 !!