Question

Zara and Chester are building fences.
Zara uses fence panels that are each 6ft long and Chester uses fence panels that are 4ft long.
If both of their fences are of the same length,what is the shortest possible length Zara's panel could be? Answer in ft

Answer 1

the answer is 12

because you need to list the multiples of 6 first which are 6,12,18 and so on then you need to list the 4s which are 4,8,12 and so on as you can see 12 is in both so it is 12

Answer 2

Answer:

The shortest possible length for Zara's panel is 4ft.

Step-by-step explanation:

From the above question,

They have given :

In order for the fences to be of the same length, the two panel sizes must be divisible by the same number. Thus, the shortest possible length for Zara's panel is 4ft, as this is the smallest panel size that can evenly divide into the 6ft panel size.

The formula for determining the shortest possible length for Zara's panel is:

Shortest Possible Length for Zara's Panel = GCD (Size of Zara's Panel, Size of Chester's Panel)

where GCD stands for Greatest Common Divisor.

Identify the size of the panels used by Zara and Chester.

Determine the shortest possible length for Zara's panel.

Calculate the number that both panel sizes can be divided by.

Determine the shortest possible length for Zara's panel.

Hence,

  The shortest possible length for Zara's panel is 4ft.

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