Question

A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the
same wire is rebent in the shape of a 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=42×62=31cm

Thus, the side of the square is 31cm.

Now, Area of rectangle=length×breadth=40×22=880cm2

And Area of square=side×side=31×31=961cm2

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