a rope 1.98cm long was cut into parts so that 1 part turned out to be 20% longer than the other part then the lengths
Answers
Answer:
Shorter part : 0.9 cm and Longer part : 1.08 cm
One rope be X
Other rope will be x * 120% = 1.2x
1.2x + x =1.98
2.2x = 1.98
x = 1.98/2.2
x = 0.8cm
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Answer:
the two parts of the rope have lengths of 0.9 cm and 1.08 cm, respectively.
Step-by-step explanation:
Let's call the length of one part of the rope "x".
According to the problem, the other part of the rope is 20% longer than "x". We can find the length of this part by multiplying "x" by 1.2 (which is 100% + 20% = 120% or 1.2 as a decimal):
Length of longer part = 1.2x
We know that the total length of the rope is 1.98 cm,
so we can set up an equation to represent this:
x + 1.2x = 1.98
Simplifying the equation:
2.2x = 1.98
x = 0.9
So one part of the rope is 0.9 cm long.
To find the length of the other part of the rope, we can use the equation we set up earlier:
Length of longer part = 1.2x
Length of longer part = 1.2(0.9)
Length of longer part = 1.08
So the other part of the rope is 1.08 cm long.
Therefore, the two parts of the rope have lengths of 0.9 cm and 1.08 cm, respectively.
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