Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Write a one-variable equation from a geometry diagram or description
Problem
Write the \(\text{one}\text{-}\text{variable}\) equation or inequality modeled by the displayed rectangle with length \(x+4\), width \(x\), and area \(45\).
The diagram gives two side lengths and a total area, so the governing relationship is rectangle area equals width times length. We’ll substitute the two displayed expressions into that product and set it equal to the displayed square-unit total, which produces the requested one-variable equation.
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