Question

A square of side 40cm and a rectangle of length 50 cm has same perimeter which has greater area

Answer 1

Side of a Square = 40cm

Perimeter of a Square=4×side

=4×40cm

=160cm

Length of a Rectangle =50cm

Let the breadth be x

Perimeter of a Rectangle=2(l+b)

160cm =2(50+x)

160/2=50+x

80=50+x

80-50=x

30cm=x

Area of Square=Side^2

=40^2

=1600cm

Area of Rectangle=Length×Breadth

= 30×50

=1500cm

Hence, Area of Square is more than Area of Rectangle

Answer 2

Answer:

Side of a Square = 40cm

Perimeter of a Square=4×side

=4×40cm

=160cm

Length of a Rectangle =50cm

Let the breadth be x

Perimeter of a Rectangle=2(l+b)

160cm =2(50+x)

160/2=50+x

80=50+x

80-50=x

30cm=x

Area of Square=Side^2

=40^2

=1600cm

Area of Rectangle=Length×Breadth

= 30×50

=1500cm

Hence, Area of Square is more than Area of Rectangle