Math Problem Statement
In your TLE project, you were to plant a kangkong on a piece of land. Its length is 4 feet more than its width, and its area is 21 square feet. 1. Based on the information provided, represent its length.
Solution
We are given that:
- The area of the land is 21 square feet.
- The length of the land is 4 feet more than its width.
Let:
- represent the width of the land in feet.
- The length is then feet (since it’s 4 feet more than the width).
Using the formula for the area of a rectangle:
Substituting the values:
Thus, the length is represented as feet.
Would you like me to proceed with solving for (the width), or provide more details?
Here are 5 related questions for deeper understanding:
- How do you solve quadratic equations formed in geometry problems like this?
- What are other real-life applications of solving for area and perimeter in gardening?
- Can the quadratic equation have more than one solution in such contexts?
- How would the problem change if the land’s area were increased?
- What are the different shapes of land area that could have been used?
Tip: Always label your variables clearly when working with word problems to keep track of what each one represents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Quadratic Equations
Formulas
Area of a rectangle = Length × Width
Quadratic equation formula: ax^2 + bx + c = 0
Theorems
Quadratic formula
Suitable Grade Level
Grades 7-9
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