Let's solve each problem step by step.
---
Problem 1: Rob's Farm Fence
Given:
- Farm dimensions: 150 meters wide and 250 meters long.
- Cost per meter of fencing = $3.00
- He wants to install a fence
all around the farm → this means we need the
perimeter.
Step 1: Find the perimeter of the farm.
The farm is rectangular, so:
$$
\text{Perimeter} = 2 \times (\text{length} + \text{width}) = 2 \times (250 + 150) = 2 \times 400 = 800 \text{ meters}
$$
Step 2: Calculate total cost.
$$
\text{Total cost} = \text{Perimeter} \times \text{Cost per meter} = 800 \times 3 = \$2,400
$$
✔ Answer: It will cost Rob
\$2,400 to fence his farm.
---
Problem 2: Pinky and Jay’s Jogging
Given:
- Pinky’s playground: 75m long, 40m wide
- Jay’s playground: 90m long, 30m wide
- Both jogged
2 rounds around their respective playgrounds.
We need to find
who jogged longer and by how much.
Step 1: Find the perimeter of each playground.
Pinky’s playground:
$$
P = 2 \times (75 + 40) = 2 \times 115 = 230 \text{ meters}
$$
Jay’s playground:
$$
P = 2 \times (90 + 30) = 2 \times 120 = 240 \text{ meters}
$$
Step 2: Multiply by 2 rounds.
Pinky’s total jogging distance:
$$
2 \times 230 = 460 \text{ meters}
$$
Jay’s total jogging distance:
$$
2 \times 240 = 480 \text{ meters}
$$
Step 3: Compare.
Jay jogged more:
$$
480 - 460 = 20 \text{ meters}
$$
✔ Answer: Jay jogged longer by 20 meters.
---
Problem 3: Sally Painting the Fence
Given:
- Fence is 40 meters long and 2 meters wide.
- Cost to paint = \$2.00 per square meter.
- We are painting the
surface area of the fence.
Step 1: Find the area of the fence.
Assuming it's a rectangular wall-like fence:
$$
\text{Area} = \text{length} \times \text{height} = 40 \times 2 = 80 \text{ square meters}
$$
Step 2: Calculate total cost.
$$
\text{Total cost} = 80 \times 2 = \$160
$$
✔ Answer: It will cost
\$160 to paint the whole fence.
---
✔ Final Answers:
1.
\$2,400
2.
Jay jogged longer by 20 meters
3.
\$160
Let me know if you'd like these explained in simpler terms or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of area and perimeter word problems worksheet pdf.
