Question : The four sides of a quadrilateral are in the ratio of 2 : 3 : 4 : 5 and its perimeter is 280 metres. The length of the longest side is:
Option 1: 100 metres
Option 2: 150 metres
Option 3: 175 metres
Option 4: 180 metres
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Correct Answer: 100 metres
Solution :
Given: The four sides of a quadrilateral are in the ratio of 2 : 3 : 4 : 5 and its perimeter is 280 metres.
Let the four sides of the quadrilateral be $2x,3x,4x,$ and $5x$ metres.
Here, the perimeter is 280 metres.
According to the question,
$(2x+3x+4x+5x) = 280$
$⇒ 14x = 280$
$ ⇒ x=20$
Therefore, the length of the longest side is $=(5×20)=100$ metres
Hence, the correct answer is 100 metres.
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