Back to Trailhead Missions
The Oakridge Neighborhood Association is planning a new community garden. They have a rectangular plot of land that measures 15 meters by 20 meters.
They plan to divide the garden as follows:
The association needs to buy fencing to surround the entire garden and mulch for the pathways.
(a) What is the area (in square meters) that will be used for pathways?
(b) How many meters of fencing will be needed to surround the entire garden?
(c) If mulch costs $5 per square meter, how much will it cost to cover all the pathways?
Let’s approach this step-by-step:
1. First, calculate the total area of the garden:
15 m × 20 m = 300 square meters
2. Now, let’s calculate the areas for each section:
• Vegetable plots: 1/2 of 300 = 150 sq m
• Flower garden: 1/4 of 300 = 75 sq m
• Composting area: 1/8 of 300 = 37.5 sq m
3. To find the pathway area:
(a) Total allocated area: 150 + 75 + 37.5 = 262.5 sq m
Remaining area (pathways): 300 – 262.5 = 37.5 sq m
4. For the fencing:
(b) Perimeter = 2(length + width) = 2(15 + 20) = 2(35) = 70 meters
5. For the mulch cost:
(c) Area of pathways = 37.5 sq m
Cost = 37.5 × $5 = $187.50
Therefore:
(a) The area used for pathways is 37.5 square meters.
(b) 70 meters of fencing will be needed.
(c) The mulch for the pathways will cost $187.50.
Remember, at QMAK, we don’t just teach; we empower. We don’t just inform; we inspire. We don’t just question; we act. Become a Gold Member, and let’s unlock your child’s full potential, one question at a time.