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A rope is the square root of 75 units long. The rope is cut into two pieces so that the lengths of the pieces are in the ratio 2 : 3. What is the length of the longer piece expressed in simplest radical form?

Respuesta :

nrajpal

Answer:

45 units

Step-by-step explanation:

75/5= 15.

15*2=smaller piece=30

15*3=bigger piece=45

abidemiokin

The length of the longer piece expressed in simplest radical form is 3√3 units

Ratio and proportion

Fractions are written as a ratio of two integers

Given the ratio of a rope cut into 2 pieces as 2 : 3

Total ratio = 2 + 3

Total ratio = 5

If the rope is the square root of 75 units long, the length of the longer piece is expressed as:

Length of longer piece = 3/5 * √75
Length of longer piece = 3/5 * 5√3
Length of longer piece = 3√3

Hence the length of the longer piece expressed in simplest radical form is 3√3 units

Learn more on ratio and proportion here:https://brainly.com/question/12024093

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