Question

A wire is in the shape of a rectangle . It's length is 65cm and breadth is 35cm . If the same wire is rebent in the shape of the square, what will be the measure of each side. Also find which shape encloses more area?​

Answer 1

Step-by-step explanation:

According to the question,

Perimeter of square=Perimeter of rectangle

⇒4× side=2(length+breadth)

⇒4×side=2(40+22)

⇒4×side=2×62

⇒ side=

4

2×62

=31cm

Thus, the side of the square is 31cm.

Now, Area of rectangle=length×breadth=40×22=880cm

2

And Area of square=side×side=31×31=961cm

2

Therefore, on comparing, the area of square is greater than that of rectangle.

Answer 2

Answer:

Given A wire is in shape of rectangle

where

length=20 cm.

breadth=12 cm.

Perimeter of rectangle =2(l+b)

=2(32)

[Perimeter =64 cm.]

now of wire is bent in shape of square

where side =a cm

now

Perimeter of rectangle = perimeter of square

64=4a

[a=16cm]