Therefore, 15 cm is the greatest length of a scale that can measure exactly 30cm, 90cm, 1m 20cm, and 1m 35cm lengths. Therefore, 15 cm is the greatest length of a scale that can measure exactly 30cm, 90cm, 1m 20cm, and 1m 35cm lengths.
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Answer:
15 cm
Explanation:
1m 20 cm = 120 cm
1m 35 cm = 135 cm
Greatest length = HCF of 30, 90, 120 and 135
30 = 2 x 3 x 5
90 = 2 x 3 x 3 x 5
120 = 2 x 2 x 2x3x5
135= 3 x 3 x 3 x 5
HCF = 3 x 5 = 15
Therefore, 15 cm is the greatest length of a scale that can measure exactly 30cm, 90cm, 1m 20cm, and 1m 35cm lengths.
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