Question

A wire bent in a shape of rectangle. Its length is 30 cm and breadth is 15 cm . If the same wire is rebent in the shape of a square , then what will be the measure of its side ? Which figure encloses more area?

Answer 1

Answer:

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.