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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 9th Jan, 2024

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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