Answer:12m

Step-by-step explanation:

We know that 1m=100cm

so 7m=700cm

3m=300cm

12m=1200cm

and the other two are 85cm and 95 cm themselves.

The factors of 100 = 1,2,4,5,10,20,25,50,100

The factors of 700 = 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

the factors of 300 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

the factors of 1200 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

the factors of 85= 1,5,17,85

The factors of 95= 1,5,19,95

We can see that the common factors are 1 and 5. So the HCF is 5cm and the longest tape will be of 5cm. We can use the tape multiple times and measure the distance.

Verified answer

Answer:

Find the greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm and 12m 95cm. Answer: Given lengths are 7m (700cm), 3m 85cm (385cm) and 12m 95m (1295cm). The greatest possible length = 35cm.

Step-by-step explanation:

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