Question : A field is 150 m long and 80 m wide. How many times (rounded off to 1 decimal place) is its perimeter to the length of its diagonal?
Option 1: 2.3
Option 2: 2.5
Option 3: 2.7
Option 4: 3.1
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Correct Answer: 2.7
Solution :
Length $(l)$ = 150 m
Width $(w)$ = 80 m
Perimeter $=2(l+b)=2(150+80) = 460$ m
Length of diagonal = $\sqrt{(l^2+w^2)} = \sqrt{(150^2+80^2)} =170$ m
Ratio of perimeter to diagonal $=\frac{460}{170} = 2.7$
Hence, the correct answer is 2.7.
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