A line segment is divided into two parts in the ratio 3:2. If the total length o

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Question: A line segment is divided into two parts in the ratio 3:2. If the total length of the segment is 50 cm, what is the length of the longer part? (2023)

Options:

30 cm
20 cm
25 cm
15 cm

Correct Answer: 30 cm

Exam Year: 2023

Solution:

The longer part is (3/5) * 50 = 30 cm, since the total ratio is 3 + 2 = 5.

A line segment is divided into two parts in the ratio 3:2. If the total length o

Practice Questions

A line segment is divided into two parts in the ratio 3:2. If the total length of the segment is 50 cm, what is the length of the longer part? (2023)

30 cm
20 cm
25 cm
15 cm

Questions & Step-by-Step Solutions

A line segment is divided into two parts in the ratio 3:2. If the total length of the segment is 50 cm, what is the length of the longer part? (2023)

Step 1: Understand that the line segment is divided into two parts in the ratio 3:2.
Step 2: Add the parts of the ratio together: 3 + 2 = 5.
Step 3: The total length of the segment is given as 50 cm.
Step 4: To find the length of the longer part, use the ratio of the longer part (3) over the total ratio (5).
Step 5: Calculate the length of the longer part: (3/5) * 50 cm.
Step 6: Perform the multiplication: (3/5) * 50 = 30 cm.
Step 7: Conclude that the length of the longer part is 30 cm.

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

A line segment is divided into two parts in the ratio 3:2. If the total length o

What’s inside this PDF?

A line segment is divided into two parts in the ratio 3:2. If the total length o

Practice Questions

Questions & Step-by-Step Solutions

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