Question

a lumberyard worker is cutting three tree trucks into equal sections. the trunks measure 28 feet, 14 feet, and 42 feet. if the sections are as long as possible, how long should each section be?

Answer 1

answer: 14 feet

you have to find the GCF (greatest common factor)

14: 1, 2, 7, 14
28: 1, 2, 4, 7, 14, 28
42: 1, 2, 3, 6, 7, 14, 21, 42

Answer 2

Answer: The maximum length of each section should be 14 feet.

Explanation:

Since we have given that

Measures of trunks are 28 feet, 14 feet, and 42 feet.

We need to cut three tree trunks into equal section so that the size of sections are as long as possible.

So, we do H.C.F. of 28,14, and 42.

And H.C.F. of 28,14, and 42 = 14

So, the maximum length of each section should be 14 feet.