Measurement Word Problems Worksheets - Distance/Length - ExperTuition - Free Printable
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Step-by-step solution for: Measurement Word Problems Worksheets - Distance/Length - ExperTuition
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Show Answer Key & Explanations
Step-by-step solution for: Measurement Word Problems Worksheets - Distance/Length - ExperTuition
It looks like you've uploaded an image of a math worksheet cover for Distance/Length Word Problems, targeted at Grades 4–6, with 6 worksheets included. The image shows sample problems from two different sets (Set A1 and Set B1), but it does not include the full content of all six worksheets.
However, I can help you solve the visible word problems in the image and explain the solutions step by step. Let's go through each one.
---
> Patricia was 3 feet 8 inches tall the last time I saw her. She grew 10 inches more. How many inches tall is Patricia now?
#### Step-by-step Solution:
1. Convert Patricia’s original height to inches:
- 1 foot = 12 inches
- 3 feet = 3 × 12 = 36 inches
- Add the extra 8 inches: 36 + 8 = 44 inches
2. Add the growth:
- 44 inches + 10 inches = 54 inches
✔ Answer: Patricia is now 54 inches tall.
---
> A wall has a height of 3 m 70 cm. If each brick is 5 cm high, how many bricks were used to attain the given height of the wall?
#### Step-by-step Solution:
1. Convert the wall height entirely into centimeters:
- 1 meter = 100 cm
- 3 meters = 3 × 100 = 300 cm
- Add 70 cm: 300 + 70 = 370 cm
2. Each brick is 5 cm high. Divide total height by brick height:
- 370 ÷ 5 = 74 bricks
✔ Answer: 74 bricks were used.
---
> A box of pencils is 3 inches wide. A shelf is 4 feet long. How many boxes can she store on the shelf?
#### Step-by-step Solution:
1. Convert shelf length to inches:
- 4 feet = 4 × 12 = 48 inches
2. Divide shelf length by box width:
- 48 ÷ 3 = 16 boxes
✔ Answer: C. 16 boxes
---
> Each bench in the gym is 4 feet 6 inches long. If 5 benches are put together, what is the total length?
#### Step-by-step Solution:
1. Convert one bench length to inches:
- 4 feet = 4 × 12 = 48 inches
- Add 6 inches → 48 + 6 = 54 inches per bench
2. Multiply by 5 benches:
- 54 × 5 = 270 inches
3. Optional: Convert back to feet and inches:
- 270 ÷ 12 = 22 feet with remainder 6 inches
- So, 22 feet 6 inches
But since the choices are in inches, let's check options:
- A. 38 inches ✘
- B. 19 inches ✘
- C. 380 inches ✘
- D. 190 inches ✘
Wait — none of these match 270 inches. That suggests either a typo in the problem or the options.
Let’s double-check:
- Is it possible that "each bench is 4 feet 6 inches" and there are 5 benches?
Yes → 5 × 4 ft 6 in = ?
We can do it in feet:
- 4 ft 6 in = 4.5 ft
- 5 × 4.5 = 22.5 ft = 22 ft 6 in = 270 inches
But none of the options match 270 inches.
Looking at options again:
- C. 380 inches → too big
- D. 190 inches → half of 380
- Maybe it's a typo? Or perhaps the bench is 3 feet 6 inches?
Let’s test: 3 ft 6 in = 3.5 ft → 5 × 3.5 = 17.5 ft = 210 inches → still not matching.
Alternatively, maybe the question says each bench is 3 feet 6 inches, and we’re missing context.
But based on what's written: "Each bench... is 4 feet 6 inches", so likely the answer should be 270 inches, which isn't listed.
Possibility: The options are wrong, or the problem is misprinted.
But if we assume a typo and the bench is 3 feet 6 inches (3.5 ft), then:
- 3.5 ft × 5 = 17.5 ft = 210 inches → still not matching.
Wait — option D is 190 inches, close to 270? No.
Wait — could it be each bench is 3 feet 8 inches?
Try: 3 ft 8 in = 44 inches → 5 × 44 = 220 inches → still no.
Hmm.
Alternatively, perhaps the problem meant each bench is 3 feet long, and 5 benches → 15 feet = 180 inches → close to 190.
Still not exact.
So unless there’s a mistake in the image, this multiple-choice question seems flawed.
But based on correct math:
✔ Total length = 5 × (4 ft 6 in) = 22 ft 6 in = 270 inches
None of the choices match.
---
> Susan’s house is 8 km from school and Maria’s house is 11 km from school. Whose house is farther from school?
This is straightforward.
- 11 km > 8 km
✔ Answer: Maria’s house is farther.
---
## ✔ Summary of Solved Problems:
| Problem | Answer |
|--------|--------|
| 1 (B1): Patricia’s height | 54 inches |
| 4 (B1): Bricks in wall | 74 bricks |
| 1 (A1): Boxes on shelf | C. 16 boxes |
| 2 (A1): Total bench length | 270 inches (but not among choices — likely error) |
| 3 (A1): Whose house is farther? | Maria’s house |
---
## 📝 Final Notes:
- These are measurement conversion and word problem skills typical for Grade 4–6.
- Key concepts:
- Converting between units (feet ↔ inches, meters ↔ centimeters)
- Adding lengths
- Division for counting items (like bricks)
- Comparing distances
If you'd like me to generate the full 6 worksheets, or create similar problems, or explain any concept in detail, feel free to ask!
Would you like a downloadable version or printable format of these solved problems?
However, I can help you solve the visible word problems in the image and explain the solutions step by step. Let's go through each one.
---
🔹 Problem 1 (Set B1):
> Patricia was 3 feet 8 inches tall the last time I saw her. She grew 10 inches more. How many inches tall is Patricia now?
#### Step-by-step Solution:
1. Convert Patricia’s original height to inches:
- 1 foot = 12 inches
- 3 feet = 3 × 12 = 36 inches
- Add the extra 8 inches: 36 + 8 = 44 inches
2. Add the growth:
- 44 inches + 10 inches = 54 inches
✔ Answer: Patricia is now 54 inches tall.
---
🔹 Problem 4 (Set B1):
> A wall has a height of 3 m 70 cm. If each brick is 5 cm high, how many bricks were used to attain the given height of the wall?
#### Step-by-step Solution:
1. Convert the wall height entirely into centimeters:
- 1 meter = 100 cm
- 3 meters = 3 × 100 = 300 cm
- Add 70 cm: 300 + 70 = 370 cm
2. Each brick is 5 cm high. Divide total height by brick height:
- 370 ÷ 5 = 74 bricks
✔ Answer: 74 bricks were used.
---
🔹 Problem 1 (Set A1) – Multiple Choice:
> A box of pencils is 3 inches wide. A shelf is 4 feet long. How many boxes can she store on the shelf?
#### Step-by-step Solution:
1. Convert shelf length to inches:
- 4 feet = 4 × 12 = 48 inches
2. Divide shelf length by box width:
- 48 ÷ 3 = 16 boxes
✔ Answer: C. 16 boxes
---
🔹 Problem 2 (Set A1) – Multiple Choice:
> Each bench in the gym is 4 feet 6 inches long. If 5 benches are put together, what is the total length?
#### Step-by-step Solution:
1. Convert one bench length to inches:
- 4 feet = 4 × 12 = 48 inches
- Add 6 inches → 48 + 6 = 54 inches per bench
2. Multiply by 5 benches:
- 54 × 5 = 270 inches
3. Optional: Convert back to feet and inches:
- 270 ÷ 12 = 22 feet with remainder 6 inches
- So, 22 feet 6 inches
But since the choices are in inches, let's check options:
- A. 38 inches ✘
- B. 19 inches ✘
- C. 380 inches ✘
- D. 190 inches ✘
Wait — none of these match 270 inches. That suggests either a typo in the problem or the options.
Let’s double-check:
- Is it possible that "each bench is 4 feet 6 inches" and there are 5 benches?
Yes → 5 × 4 ft 6 in = ?
We can do it in feet:
- 4 ft 6 in = 4.5 ft
- 5 × 4.5 = 22.5 ft = 22 ft 6 in = 270 inches
But none of the options match 270 inches.
Looking at options again:
- C. 380 inches → too big
- D. 190 inches → half of 380
- Maybe it's a typo? Or perhaps the bench is 3 feet 6 inches?
Let’s test: 3 ft 6 in = 3.5 ft → 5 × 3.5 = 17.5 ft = 210 inches → still not matching.
Alternatively, maybe the question says each bench is 3 feet 6 inches, and we’re missing context.
But based on what's written: "Each bench... is 4 feet 6 inches", so likely the answer should be 270 inches, which isn't listed.
Possibility: The options are wrong, or the problem is misprinted.
But if we assume a typo and the bench is 3 feet 6 inches (3.5 ft), then:
- 3.5 ft × 5 = 17.5 ft = 210 inches → still not matching.
Wait — option D is 190 inches, close to 270? No.
Wait — could it be each bench is 3 feet 8 inches?
Try: 3 ft 8 in = 44 inches → 5 × 44 = 220 inches → still no.
Hmm.
Alternatively, perhaps the problem meant each bench is 3 feet long, and 5 benches → 15 feet = 180 inches → close to 190.
Still not exact.
So unless there’s a mistake in the image, this multiple-choice question seems flawed.
But based on correct math:
✔ Total length = 5 × (4 ft 6 in) = 22 ft 6 in = 270 inches
None of the choices match.
---
🔹 Problem 3 (Set A1):
> Susan’s house is 8 km from school and Maria’s house is 11 km from school. Whose house is farther from school?
This is straightforward.
- 11 km > 8 km
✔ Answer: Maria’s house is farther.
---
## ✔ Summary of Solved Problems:
| Problem | Answer |
|--------|--------|
| 1 (B1): Patricia’s height | 54 inches |
| 4 (B1): Bricks in wall | 74 bricks |
| 1 (A1): Boxes on shelf | C. 16 boxes |
| 2 (A1): Total bench length | 270 inches (but not among choices — likely error) |
| 3 (A1): Whose house is farther? | Maria’s house |
---
## 📝 Final Notes:
- These are measurement conversion and word problem skills typical for Grade 4–6.
- Key concepts:
- Converting between units (feet ↔ inches, meters ↔ centimeters)
- Adding lengths
- Division for counting items (like bricks)
- Comparing distances
If you'd like me to generate the full 6 worksheets, or create similar problems, or explain any concept in detail, feel free to ask!
Would you like a downloadable version or printable format of these solved problems?
Parent Tip: Review the logic above to help your child master the concept of distance word problems worksheet.