Question : A picture is 40 cm wide and 1.6 m long. The ratio of its width to its perimeter is:
Option 1: 4 : 1
Option 2: 10 : 1
Option 3: 1 : 10
Option 4: 1 : 4
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Correct Answer: 1 : 10
Solution : 1.6 m = 160 cm The perimeter($P$) of a rectangle is given by the formula: $P = 2\times(\text{length} + \text{width})$ Substituting the given values, $P = 2\times(160 + 40) = 400 \, \text{cm}$ The ratio of the width to the perimeter, $\frac{\text{width}}{P} = \frac{40}{400} = \frac{1}{10}=1:10$ Hence, the correct answer is 1 : 10.
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