Form an equation and solve it to answer each question....

Form an equation and solve it to answer each question.
TENNIS The perimeter of a regulation singles tennis court is 210 feet and the length is 51 feet more than the width. Find the length and width of the court.

Key Concepts

Rectangle Geometry

This concept involves understanding the properties of rectangles, including the relationships among their sides, angles, and associated formulas. In problems involving tennis courts or similar structures, it is crucial to recognize that the court is modeled as a rectangle, with specific formulas applicable such as those for perimeter and area.

Perimeter Calculation

Perimeter calculation is the method of determining the total distance around a two-dimensional shape. For a rectangle, this is calculated using the formula 2(length + width). This concept is essential in setting up an equation based on the given total perimeter in problems of this type.

Linear Equations

Linear equations are algebraic expressions where the highest degree of the variable is one. They are used to represent and solve relationships where the changes occur at a constant rate. Formulating the relationship between the dimensions of a tennis court in the problem leads to a linear equation that can then be solved.

Variable Substitution

Variable substitution is a technique used to simplify a system of equations by replacing one variable with another expression. In problems where one quantity is defined in relation to another, such as a length being a fixed amount greater than the width, substitution helps in reducing the problem to a single variable which is then easier to solve.