Math Problem Statement
The Basson family decided that they needed to expand their household income to cater for their increasing expenses. After a family meeting, they decide to start a large vegetable garden in which they will grow onions and tomatoes. It will be picked, boiled and processed into a delicious smother. These little bottles of smother will then be sold in local stores. Help the Basson family with the design and planning of the vegetable. Look at the large plot on the addendum page and answer the following questions.
1.1 The Basson family has a large plot of open land next to their house that can be used for the vegetable garden (picture on addendum page). Calculate the total area of the vegetable garden.
Solution
To calculate the total area of the vegetable garden, we need to break the shape into two simpler parts: a rectangle and a triangle.
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Rectangle:
- Length = 18 m
- Width = 6 m
- Area of rectangle = Length × Width =
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Triangle:
- Base = 6 m (width of the garden)
- Height = 5 m
- Area of triangle =
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Total Area:
- Total area of the vegetable garden = Area of rectangle + Area of triangle =
So, the total area of the vegetable garden is .
Would you like more details on any part of this calculation or have any other questions?
Here are some related questions you might find helpful:
- How can the Basson family maximize the use of their garden space for planting?
- What is the perimeter of the vegetable garden?
- How much fencing would be required to enclose the garden?
- What are the potential yields of onions and tomatoes per square meter?
- How can the Basson family ensure optimal soil conditions for their garden?
- What irrigation methods are best for a vegetable garden of this size?
- How can the Basson family plan crop rotation to maintain soil fertility?
- What are some pest control methods suitable for a vegetable garden?
Tip: When planning a garden, consider companion planting, which involves growing certain plants together to enhance growth and protect against pests.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area Calculation
Triangle Area
Rectangle Area
Formulas
Area of rectangle: Length × Width
Area of triangle: (1/2) × Base × Height
Theorems
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Suitable Grade Level
Grades 6-8
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