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  1. A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is
    1. 77 cm
    2. 97 cm
    3. 67 cm
    4. 87 cm
Correct Option: A

Using Rule 14,
Circumference of circular shape = π × diameter

=
22
× 112 = 352 cm
7

= length of wire
∴ Perimeter of rectangle = 2 (length + breadth)
⇒ 2 (l + b) = 352
⇒ l + b =
352
= 176
2

∴ Smaller side of rectangle =
7
× 176 = 77
16



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