Here are the essential concepts you must grasp in order to answer the question correctly.
Perimeter of a Rectangle
The perimeter of a rectangle is the total distance around the rectangle, calculated by the formula P = 2(length + width). Understanding this formula is essential for solving problems involving the dimensions of rectangular shapes, as it relates the length and width to a given total distance.
Algebraic Expressions
Algebraic expressions are mathematical phrases that can include numbers, variables, and operations. In this problem, we need to express the length in terms of the width using the relationship given (length = 2 * width + 6), which allows us to set up equations to find the unknown dimensions.
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Solving Linear Equations
Solving linear equations involves finding the value of variables that satisfy the equation. In this context, we will set up an equation based on the perimeter and the relationship between length and width, and then use algebraic techniques to isolate the variables and find their values.
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