Answered

A carpenter wants to cut a 20 - foot piece of iron rod into two pieces. The longer piece is to 4 feet less than twice the shorter piece. Find the length of the longer piece.

A.) 11 ft

B.) 12 ft

C.) 13 ft

D.) 14 ft

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Answer:

B.) 12 ft

Step-by-step explanation:

Let s be the shorter piece.

L (longer piece) = 2s - 4

20 = s + (2s - 4)

20 = 3s - 4

20 + 4 = 3s - 4 + 4

24 = 3s

24/3 = 3s/3

8 = s

the length of the shorter piece is 8 ft

now, TO FIND L (longer piece)

2s - 4 = L

2 (8) - 4 = L

16 - 4 = L

12 = L

the length of the longer piece is 12 ft

Check:

12 + 8 = 20 ft

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