For a construction project, yosa was asked to cut a 42-inch chain into three pieces of equal length. she made the first cut correctly, but her hand slipped on the second cut. if the longest piece ended up 6 inches longer than the shortest piece, what is the length, in inches, of the shortest piece?

The length of the shorter piece is 11 in

and the longer piece = 17 in

Explanation:

Given:

Total length of the chain = 42 in

When cut in three equal piece the length of each piece =  = 14 in

Therefore, The length of the first piece = 14 in

Let the length of the shorter piece be 'x' in

Thus,

Length of the longer piece will be  = x + 6 in

also,

14 + x + x + 6 = 42 in

or

20 + 2x = 42 in

or

2x = 22 in

or

x = 11 in

Hence,

The length of the shorter piece is 11 in

and the longer piece is 11 + 6 = 17 in

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is this good enough?

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