Question

A wire is in the shape of a square of side 14 cm. If the wire is rebent into a rectangle of length 18 cm, find the breadth. Which shape encloses more area, the square or the rectangle​

Answer 1

Let a be the side of a square, l be the length and b be the breadth of rectangle.

As length of wire is constant, perimeter of both shapes would be same,

⇒4a=2(l+b)

⇒40=2(12+b)

⇒b=18 cm

Area of square=a 2

=10 2

=100cm 2

Area of rectangle=lb=12×18=216cm 2

⇒ Area of rectangle is greater by 116cm 2 .

Answer 2

Answer:

[tex]Let a be the side of a square, l be the length and b be the breadth of rectangle.

As length of wire is constant, perimeter of both shapes would be same,

⇒4a=2(l+b)

 ⇒57=2(18+b)

⇒b=18 cm

Area of square=a²=14²=196cm²

Area of rectangle=lb=18×18=216cm2

⇒ Area of rectangle is greater by 116cm2.