| A circular wire of radius 35 cm is cut and bent in the form of a rectangle whose sides are in the ratio 6: 5. The smaller side of the rectangle is |
A) 40 cm
B) 60 cm
C) 50 cm
D) 80 cm
Correct Answer: C
Solution :
| Length of wire s Circumference of the circle with radius of 35 m |
| Circumference of the circle \[=2\pi r\] |
| \[=2\times \frac{22}{7}\times 35=220\,\,cm\] |
| Let the length of rectangle be \[6x\,\,cm.\]Then, its breadth is \[5x.\] |
| \[\therefore \] \[2\,\,(6x+5x)=220\] |
| \[\Rightarrow \] \[2\,\,(11x)=220\] |
| \[\Rightarrow \] \[22x=220\]\[\Rightarrow \]\[x=10\] |
| Smaller side of rectangle \[=5\times 10=50\,\,cm\] |
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