Subjects algebra

Area Height 929832

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1. The problem is to rewrite the formula for the area of a rectangle, $A = b \cdot h$, to solve for the height $h$ by isolating it on one side of the equation. 2. The formula for the area of a rectangle is: $$A = b \cdot h$$ where $A$ is the area, $b$ is the base, and $h$ is the height. 3. To isolate $h$, divide both sides of the equation by $b$: $$\frac{A}{b} = \frac{b \cdot h}{b}$$ 4. Simplify the right side by canceling $b$: $$\frac{A}{\cancel{b}} = \cancel{b} \cdot h / \cancel{b} \Rightarrow \frac{A}{b} = h$$ 5. Flip the equation to write $h$ on the left side: $$h = \frac{A}{b}$$ This is the formula for the height of a rectangle when the area and base are known. 6. In plain language: To find the height, divide the area by the base. This completes the rewriting of the formula to solve for $h$.