If a line segment is divided into two parts in the ratio 2:3, what is the length

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Question: If a line segment is divided into two parts in the ratio 2:3, what is the length of the longer part if the total length is 25 units?

Options:

Correct Answer: 15 units

Solution:

Total parts = 2 + 3 = 5. Length of longer part = (3/5) * 25 = 15 units.

If a line segment is divided into two parts in the ratio 2:3, what is the length of the longer part if the total length is 25 units?

If a line segment is divided into two parts in the ratio 2:3, what is the length of the longer part if the total length is 25 units?

Step 1: Understand that the line segment is divided into two parts in the ratio 2:3.
Step 2: Add the parts of the ratio together: 2 + 3 = 5 parts in total.
Step 3: Identify which part is longer. The longer part corresponds to the '3' in the ratio.
Step 4: To find the length of the longer part, calculate what fraction of the total length it represents: 3 parts out of 5 total parts.
Step 5: Multiply the total length of the line segment (25 units) by the fraction for the longer part: (3/5) * 25.
Step 6: Calculate the result: (3/5) * 25 = 15 units.

Ratio and Proportion – Understanding how to divide a total length into parts based on a given ratio.
Basic Arithmetic – Performing multiplication and addition to find the lengths of the segments.