160k views
4 votes
Zara and Chester are building fences. Zara fence panels that are each 6 feet long and Chester uses fences panels that are each 4 feet long. If both pf their fences are the same length, what is the shortest possible length that Zara fences could be.

User Ata
by
7.5k points

2 Answers

3 votes

Explanation:

Zara and Chester are building fences. Zara fence panels that are each 6 feet long and Chester uses fences panels that are each 4 feet long. If both pf their fences are the same length, what is the shortest possible length that Zara fences could be.

User Mason Stewart
by
7.0k points
4 votes
the shortest possible length for zara's fences must be a common multiple of both 6 feet and 4 feet, which is their least common multiple (lcm).

the lcm of 6 and 4 is 12 feet. so, the shortest possible length for zara's fences is 12 feet, which would also make chester's fences 12 feet long to ensure they are the same length. i hope this helped!
User Zamena
by
8.1k points