Can someone help me with this question [correct answers only]
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Answers
Answer:
so let's consider the ratio based on x. as ratio is 3:4:2 we can tell length the length of pieces of wood is 3x 4x and 2x . longest one is 4x = 72 so x is 18. total length would be 3x+4x+2x = 9x = 18*9 = 162cm
Solution!!
The ratio of the three pieces of wood is given along with the length of the largest piece. We have to calculate the length of the piece of the wood.
Length of the longest piece = 72 cm
Ratio = 3:4:2
Let the length be 3x, 4x and 2x.
We can see that 4x is the longest piece. So,
4x = 72 cm
x = 72 ÷ 4 cm
x = 18 cm
Now, we can find out the length of the other two pieces also.
3x = 3 × 18 cm = 54 cm
4x = 4 × 18 cm = 72 cm
2x = 2 × 18 cm = 36 cm
These are the lengths of the pieces of the wood. Now, we can easily find out the length of the piece of wood by adding these lengths.
Piece of wood = 54 cm + 72 cm + 36 cm
Piece of wood = 162 cm