Math worksheet with measurement conversion word problems related to length and distance.

Let's solve each of the Measurement Conversion Word Problems – Length/Distance step by step. I'll go through each problem, explain the reasoning, and provide the correct answer.

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1. Zach made a chart to show how many mm his plant grew each week for 7 weeks. Each block equals 5 mm of growth. How tall is the plant?

We are told:
- Each block = 5 mm
- We need to count the number of blocks on the chart (since you mentioned an image but I can't see it, I’ll assume this is a standard bar chart where each column represents a week and the height of the block shows growth).

But since the actual chart isn’t visible, let’s suppose that the total number of blocks across all 7 weeks is summed up (for example, if the plant grew 2 blocks in week 1, 3 in week 2, etc.).

However, without seeing the chart, we can't give a specific number. But here's how you'd solve it:

👉 Step-by-step method:
- Count the total number of blocks across all 7 weeks.
- Multiply total blocks × 5 mm/block.
- That gives total growth in millimeters.

✔ Example: If total blocks = 28 → 28 × 5 = 140 mm

> 🔍 Note: Since the image isn't visible, please check your chart and apply this method. Let me know if you can describe the number of blocks per week.

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2. Stacie begins a new walking program with 600 m on the first day. Each day she increases her walk by 200 m. How many kilometers will she walk on day 16 of her program?

This is an arithmetic sequence.

- First term (a) = 600 m
- Common difference (d) = 200 m
- Day 16 → n = 16

Use the formula for the nth term of an arithmetic sequence:

$$
a_n = a + (n - 1)d
$$

$$
a_{16} = 600 + (16 - 1) \times 200 = 600 + 15 \times 200 = 600 + 3000 = 3600\ \text{meters}
$$

Now convert meters to kilometers:

$$
3600\ \text{m} = 3.6\ \text{km}
$$

✔ Answer: 3.6 kilometers

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3. Trudy wants to surround her garden on all four sides with fencing. Her rectangular garden is 270 cm long by 130 cm. How many meters of fencing will she need?

We need the perimeter of the rectangle.

Formula:
$$
P = 2 \times (\text{length} + \text{width})
$$

$$
P = 2 \times (270\ \text{cm} + 130\ \text{cm}) = 2 \times 400 = 800\ \text{cm}
$$

Now convert cm to meters:

$$
800\ \text{cm} = 8\ \text{meters}
$$

✔ Answer: 8 meters

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4. Jin is training for the 50 meter dash. Each day that he trains, he runs the dash six times. Last week, he trained for four days. This week, he trained for five days. In two weeks, how far has he run?

Let’s break it down:

- Each run = 50 meters
- Runs per training day = 6
- Last week: 4 days → $4 \times 6 = 24$ runs
- This week: 5 days → $5 \times 6 = 30$ runs
- Total runs in 2 weeks = $24 + 30 = 54$ runs

Total distance:

$$
54 \times 50 = 2700\ \text{meters}
$$

✔ Answer: 2700 meters

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5. Li is stringing beads to make a necklace. She is using 30 of the 8 mm beads, 70 of the 4 mm beads, and 40 of the 2 mm beads. How long will her finished necklace be?

Calculate total length from each bead type:

- 30 × 8 mm = 240 mm
- 70 × 4 mm = 280 mm
- 40 × 2 mm = 80 mm

Total length:

$$
240 + 280 + 80 = 600\ \text{mm}
$$

Convert mm to meters:

$$
600\ \text{mm} = 0.6\ \text{meters}
$$

✔ Answer: 0.6 meters

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6. Mara is building a wind chime. She needs string in the following lengths: six pieces of 20 cm, 3 pieces of 30 cm, and one piece of 40 cm. How much string does she need?

Add all lengths:

- 6 × 20 cm = 120 cm
- 3 × 30 cm = 90 cm
- 1 × 40 cm = 40 cm

Total:

$$
120 + 90 + 40 = 250\ \text{cm}
$$

Convert to meters:

$$
250\ \text{cm} = 2.5\ \text{meters}
$$

✔ Answer: 2.5 meters

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | *(Depends on chart; multiply total blocks × 5 mm)* |
| 2 | 3.6 km |
| 3 | 8 m |
| 4 | 2700 m |
| 5 | 0.6 m |
| 6 | 2.5 m |

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If you can describe the chart in Problem 1 (e.g., how many blocks per week), I can calculate the exact height!