6. A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the
square park is 60 m and the length of the
the rectangular park.
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?
Speed Maths ?
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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=
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
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