a wire is in the shape of square of side 10 cm . if the wire is rebent into a rectangle of length 12cm find its breadth . which figure enclosed more area and by how much?
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Let a be the side of a square, l be the length and b be the breadth of rectangle.
As length of wire is constant, perimeter of both shapes would be same,
⇒4a=2(l+b)
⇒40=2(12+b)
⇒b=18 cm
Area of square=a
2
=10
2
=100cm
2
Area of rectangle=lb=12×18=216cm
2
⇒ Area of rectangle is greater by 116cm
2
.
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