Question

A square and a rectangular field withmeasurements as given in the figure have the sameperimeter. Which field has a larger area?​

Answer 1

side of square=60

side of rectangle=80,x

same perimeter:

square=4*a

=4*60

=240

rectangle:

2(l+b)

240=2(80+x)

240=160+2x

240-160=2x

80=2x

80/2=x

40=x=breadth

area:

square=a*a

=60*60

=3600

rectangle=l*b

=80*40

=3200

square has a larger area by 400

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 !!