The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.
Correct answer: C. 36 cm
- A. 45 cm
- B. 40 cm
- C. 36 cm
- D. 27 cm
Explanation
The ratio has 4 + 3 + 2 = 9 parts, so each part is 81 cm ÷ 9 = 9 cm. The largest side is 4 parts, giving 4 × 9 cm = 36 cm. The likely mistake is option a, 45 cm, which comes from using an incorrect share of the 81 cm perimeter.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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