Here are the essential concepts you must grasp in order to answer the question correctly.
Rectangular Area
The area of a rectangle is calculated by multiplying its length by its width. In this problem, the area is given as 40,000 square yards, which serves as a key equation to relate the dimensions of the parking lot. Understanding how to manipulate this formula is essential for solving for the unknown dimensions.
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Algebraic Expressions
Algebraic expressions are mathematical phrases that can include numbers, variables, and operations. In this question, the relationship between the length and width of the parking lot is expressed algebraically, where the length is defined as '200 yards more than twice the width.' This expression is crucial for setting up the equations needed to find the dimensions.
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Systems of Equations
A system of equations consists of two or more equations that share variables. To solve for the dimensions of the parking lot, one must set up a system using the area equation and the relationship between length and width. Solving this system will yield the values for both dimensions, which is a fundamental skill in algebra.
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