A triangle has a perimeter of 81 cm, and its sides are proportional to 4:3:2. What is the length of the longest side?

Ratio and Proportion MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject
Ratio and Proportionmathematics-mcqs › ratio-and-proportion
Published
10 Oct 2019
Last updated
28 May 2026

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Explanation

Let the sides be 4x, 3x, and 2x. Their sum is 4x + 3x + 2x = 9x, which equals the perimeter 81 cm. Solving for x gives x = 9. The longest side is 4x = 4 × 9 = 36 cm.

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