Grade 4
  1. Numbers and Place Value  1.1. Understanding Place Value  1.2. Reading and Writing Large Numbers  1.3. Comparing and Ordering Numbers  1.4. Rounding Numbers  1.5. Understanding Odd and Even Numbers  1.6. Number Patterns and Sequences
  2. Addition and Subtraction  2.1. Addition of Large Numbers  2.2. Subtraction of Large Numbers  2.3. Estimation in Addition and Subtraction  2.4. Word Problems on Addition and Subtraction
  3. Multiplication and Division  3.1. Understanding Multiplication  3.2. Multiplying Multi-Digit Numbers  3.3. Understanding Division  3.4. Dividing Multi-Digit Numbers  3.5. Multiplication and Division Facts  3.6. Word Problems on Multiplication and Division
  4. Factors and Multiples  4.1. Understanding Factors  4.2. Finding Common Factors  4.3. Understanding Multiples  4.4. Finding Common Multiples  4.5. Prime and Composite Numbers  4.6. Prime Factorization  4.7. Greatest Common Factor  4.8. Least Common Multiple
  5. Fractions  5.1. Understanding Fractions  5.2. Equivalent Fractions  5.3. Simplifying Fractions  5.4. Comparing and Ordering Fractions  5.5. Addition of Fractions  5.6. Subtraction of Fractions  5.7. Mixed Numbers and Improper Fractions  5.8. Converting Mixed Numbers to Improper Fractions  5.9. Word Problems on Fractions
  6. Decimals  6.1. Understanding Decimals  6.2. Reading and Writing Decimals  6.3. Comparing and Ordering Decimals  6.4. Rounding Decimals  6.5. Addition of Decimals  6.6. Subtraction of Decimals  6.7. Converting Decimals to Fractions  6.8. Converting Fractions to Decimals  6.9. Word Problems on Decimals
  7. Measurement  7.1. Length  7.1.1. Units of Length  7.1.2. Converting Units of Length  7.1.3. Perimeter  7.1.4. Area  7.1.5. Word Problems on Length  7.2. Weight  7.2.1. Units of Weight  7.2.2. Converting Units of Weight  7.2.3. Word Problems on Weight  7.3. Volume and Capacity  7.3.1. Units of Volume  7.3.2. Converting Units of Volume  7.3.3. Estimating Volume and Capacity  7.3.4. Word Problems on Volume and Capacity  7.4. Time  7.4.1. Reading Time  7.4.2. Units of Time  7.4.3. Converting Units of Time  7.4.4. Calculating Elapsed Time  7.4.5. Word Problems on Time
  8. Geometry  8.1. Properties of Shapes  8.1.1. Types of Angles  8.1.2. Types of Triangles  8.1.4. Symmetry  8.1.5. Lines of Symmetry  8.2. Perimeter and Area  8.2.1. Perimeter of Rectangles  8.2.2. Perimeter of Other Shapes  8.2.3. Area of Rectangles  8.2.4. Area of Other Shapes  8.2.5. Area of Irregular Shapes  8.3. Coordinate Geometry  8.3.1. Understanding Coordinates  8.3.2. Plotting Points on a Grid  8.3.3. Identifying Shapes on a Grid
  9. Data and Graphs  9.1. Types of Data  9.2. Organizing Data  9.3. Reading Bar Graphs  9.4. Drawing Bar Graphs  9.5. Line Plots  9.7. Reading and Interpreting Line Graphs  9.8. Word Problems on Graphs
  10. Money  10.1. Understanding Money  10.2. Addition and Subtraction with Money  10.3. Making Change  10.4. Multiplying and Dividing Money  10.5. Word Problems on Money

Grade 4 → Measurement → Length ↓


Word Problems on Length


Word problems on length are a part of mathematics that aims to apply your knowledge of measuring length in practical, real-world situations. These problems enhance problem-solving skills and help students understand the application of mathematical concepts in day-to-day life.

Basic concepts of length

Before we get into word problems, let's recap what length is. Length is the measurement of something from one end to the other. We use different units to measure length, such as millimeters (mm), centimeters (cm), meters (m), and kilometers (km).

Units of length

Common units of length are as follows:

  • Millimeter (mm): The smallest metric unit of measuring length.
  • Centimeter (cm): 10 millimeters make 1 centimeter.
  • Meter (m): From the metric system, this is the base unit. There are 100 centimeters in a meter.
  • Kilometer (km): Used to measure long distances. There are 1000 meters in a kilometer.

Converting units

In many word problems, you will need to convert measurements from one unit to another. Here are some basic unit conversions you need to know:

1 cm = 10 mm
1 meter = 100 cm
1 km = 1000 meters

Steps to solve word problems relating to length

Solving word problems requires a step-by-step approach. Here's how you can solve them:

  1. Read the problem carefully: Understand what the problem is asking. Identify the quantities involved and what is being asked.
  2. Identify units: Note the units used and determine if you need to convert them for consistency.
  3. Write down what you know: Outline the known values and the unknown values you need to find.
  4. Formulate the method: Decide on the mathematical operations needed to solve the problem.
  5. Solve the problem: Use mathematical operations to find a solution.
  6. Check your work: Review your calculations and make sure the solution makes sense in the context of the problem.

Examples of word problems on length

Example 1: Addition of lengths

Problem: Anna has a ribbon 50 cm long. She buys another ribbon 75 cm long. What is the total length of the ribbon she has?

Solution:

  • Step 1: Read the problem. We need to find the total length of two ribbons by adding their lengths.
  • Step 2: Identify the known values: 50 cm and 75 cm.
  • Step 3: Adding process is required.
  • Step 4: Add the Length. 
    50 cm + 75 cm = 125 cm
  • Step 5: Conclusion - The total length of the ribbon is 125 cm.

Example 2: Subtracting length

Problem: John has a piece of wood that is 2 m long. He cut a 70 cm long piece for a project. How much wood is left now?

Solution:

  • Step 1: Understand the need to find the remaining length after cutting.
  • Step 2: The known values are 2 m and 70 cm. Convert 2 m to centimeters for consistency: 
    2 m = 200 cm
  • Step 3: Decrease the Length of the Wood: 
    200 cm - 70 cm = 130 cm
  • Step 4: Conclusion - The remaining wood is 130 cm long.

Example 3: Multiplication of lengths

Problem: A garden path is 3 m wide and is made of 5 tiles joined end to end. Each tile is 80 cm long. What is the total length of the path?

Solution:

  • Step 1: Calculate the total length by multiplying the number of tiles by the length of each tile.
  • Step 2: The known values are 5 tiles and 80 cm per tile.
  • Step 3: Multiply the number of tiles by the length of one tile: 
    5 tiles × 80 cm = 400 cm
  • Step 4: Conclusion - The total length of the garden path is 400 cm.

Visual example: Measurement and conversion

Width: 50 cm Width: 100 cm To convert 150 cm to meters: 150 cm ÷ 100 = 1.5 m

Example 4: Division of length

Question: A rope 240 cm long is cut into 8 equal parts. What is the length of each part?

Solution:

  • Step 1: Determine the length of each part by dividing the total length by the number of parts.
  • Step 2: The known values are 240 cm total length and 8 parts.
  • Step 3: Divide the total length by the number of pieces. 
    240 cm ÷ 8 = 30 cm
  • Step 4: Conclusion - The measurement of each part is 30 cm.

Practice problems

Now, test your understanding with some practice questions.

  1. A child has a rope 100 cm long. He cuts it into 5 equal parts. What is the length of each part?
  2. A park is 2 kilometers long. If you walk 700 meters in the park, how much distance will you have to cover to reach the other end?
  3. A hallway is 120 m long. If it is to be covered with 20 m long tiles, how many tiles will be needed?
  4. Sara bought 3 pieces of cloth each measuring 45 cm. What is the total length of the cloth she bought?

Try to solve each problem by following the steps discussed and verify your answers. The key to mastering word problems is constant practice and understanding the approach.

Keep practicing and you'll be able to easily convert real-world situations into mathematical solutions!


Grade 4 → 7.1.5


U
username
0%
completed in Grade 4

← Prev (7.1.4)
Area
Next (7.2) →
Weight

Comments 



Word Problems on Length

https://www.buddymath.com/g4/7.1.5?bmal=en