A 10 foot board is to be cut into two pieces, so that the longer piece is 4 times the length of the shorter piece. Find the length of each piece

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BrainlyAnswerer BrainlyAnswerer · Answer 1 · 2018-10-25T01:33:13+02:00

So, we know the longer piece is 4 times the shorter

Then we are told these two pieces were cut from a 10 ft board so we can write an equation to solve for the shorter piece

short piece + long piece = 10 ft

(x means short piece)

x + 4x = 10

5x = 10

x = 2

(Now use this to find the long piece )

(long piece is 4x )

4*2=8

So your answer is: short piece is 2 ft and long piece is 8 ft

2 + 8 = 10

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topeadeniran2 topeadeniran2 · Answer 2 · 2021-10-14T11:27:15+02:00

The shorter length is 2 feet and the longer length is 8 feet

Let the smaller piece of board be represented by x.

Since the longer piece is 4 times the length of the shorter piece, the longer piece will be: = 4 × x = 4x

Therefore, the equation to calculate the length of each piece will be:

Smaller length + Bigger length = 10

x + 4x = 10

5x = 10

Divide both side by 5

5x/5 = 10/5

x = 2

The shorter length is 2 feet

The bigger length is 4x = 4 × 2 feet = 8 feet

The shorter length is 2 feet and the longer length is 8 feet

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