Solve each of the problems algebraically. That is, set up an...

Solve each of the problems algebraically. That is, set up an equation and solve it. Be sure to clearly label what the variable represents. Round your answer to the nearest tenth where necessary. Find the length of a rectangle whose width is $4 \mathrm{ft}$ and whose area is $22 \mathrm{sq} \mathrm{ft}$.

Solve each of the problems algebraically. That is, set up an equation and solve it. Be sure to clearly label what the variable represents. Round your answer to the nearest tenth where necessary.
Find the length of a rectangle whose width is $4 \mathrm{ft}$ and whose area is $22 \mathrm{sq} \mathrm{ft}$.

Key Concepts

Variable Representation

Clearly defining the variable means stating what it represents in the context of the problem. This helps to ensure that the algebraic equation accurately reflects the problem situation and aids in interpreting the solution correctly.

Rounding

Rounding is the process of reducing the number of digits in a number to a specified degree of precision. In many practical applications, especially those involving measurements, it is important to round the answer to a desired level of accuracy, such as the nearest tenth.

Area Formula for Rectangles

The area of a rectangle is calculated using the formula A = length × width. This formula forms the basis for many problems involving rectangular dimensions and is fundamental in understanding how the dimensions of a geometric shape relate to its area.

Algebraic Modeling

This concept involves translating a real-world scenario into an algebraic expression or equation. In many problems, you define a variable to represent an unknown quantity and then use relationships given in the problem to create an equation that you can solve to find that variable.

Solving Linear Equations

Once the algebraic model is set up, solving the equation often involves isolating the variable. For linear equations, this typically requires performing operations such as addition, subtraction, multiplication, or division to both sides of the equation until the variable is solved.

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