Question

A wire is in the shape of a rectangle. Its length is 32cm and breadth is 18 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?
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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.

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