History, asked by Anonymous, 8 months ago

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Answers

Answered by ritu8873
0

EXAMPLE 4 A wire is in the shape of a square of side 10 cm. If the wire is

rebent into a rectangle of length 12 cm, find its breadth. Which encloses

more area, the square or the rectangle?

SOLUTION Side of the square = 10 cm

Length of the wire = Perimeter of the square = 4 × side = 4 × 10 cm

= 40 cm

Length of the rectangle, l = 12 cm. Let b be the breadth of the rectangle.

Perimeter of rectangle = Length of wire = 40 cm

Perimeter of the rectangle = 2 (l + b)

Thus, 40 = 2 (12 + b)

or

40

2 = 12 + b

Therefore, b = 20 − 12 = 8 cm

The breadth of the rectangle is 8 cm.

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