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  1. The four sides of a quadrilateral are in the ratio of 2 : 3 : 4 : 5 and its perimeter is 280 metre. The length of the longest side is :
    1. 100 metre
    2. 150 metre
    3. 175 metre
    4. 180 metre
Correct Option: A

Sides of quadrilateral
= 2x, 3x, 4x and 5x metre According to the question, 2x + 3x + 4x + 5x = 280

⇒ 14x = 280 ⇒ x =
280
= 20
14

∴ Largest side = 5x = 5 × 20 = 100 cm.
OR
a : b : c : d = 2 : 3 : 4 : 5
Sum of the terms of ratio = 2 + 3 + 4 + 5 = 14 a + b + c + d = 280 metre
∴ Largest side =
5
× 280 = 100 metre
14



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