To find the area \( (A) \), the values of \( L \). and \( B \) are substituted into the formula. On some occasions we may wish to use the same formula to find different quantities. For example, we may, to find the length of a rectangle for which the area and breadth aro known. In this case, we can rewrite the for making \( L \) the subject of the by dividing both sides by \( B \). Hence, we have: \[ L=\frac{A}{B} \] He

It looks like you're explaining how to use the area formula of a rectangle to solve for different variables, such as length \( L \) when the area \( A \) and breadth \( B \) are known. I'll help refine and complete your explanation for clarity and correctness. --- **Finding Different Quantities Using the Area Formula** To find the area \( A \) of a rectangle, the values of the length \( L \) and breadth \( B \) are substituted into the formula: \[ A = L \times B \] However, there are occasions when we may wish to use the same formula to find different quantities. For example, we might want to find the length \( L \) of a rectangle when the area \( A \) and breadth \( B \) are known. In such cases, we can **rearrange the formula** to make \( L \) the subject. **Solving for Length \( L \):** Starting with the area formula: \[ A = L \times B \] To solve for \( L \), divide both sides of the equation by \( B \): \[ L = \frac{A}{B} \] **Example:** Suppose you know that the area of a rectangle is \( 50 \) square units, and its breadth is \( 5 \) units. To find the length \( L \), substitute the known values into the rearranged formula: \[ L = \frac{A}{B} = \frac{50}{5} = 10 \text{ units} \] **Solving for Breadth \( B \):** Similarly, if you want to find the breadth \( B \) when the area \( A \) and length \( L \) are known, rearrange the formula as follows: \[ B = \frac{A}{L} \] **Example:** If the area \( A \) is \( 60 \) square units and the length \( L \) is \( 12 \) units: \[ B = \frac{60}{12} = 5 \text{ units} \] --- **Key Takeaways:** 1. **Flexibility of Formulas:** Algebraic formulas can often be rearranged to solve for different variables, depending on what information is available. 2. **Maintaining Equality:** When rearranging formulas, it's essential to perform the same operation on both sides of the equation to maintain equality. 3. **Practical Applications:** Understanding how to manipulate formulas is crucial in various real-life scenarios, such as calculating dimensions, budgeting, and engineering. If you have more specific questions or need further assistance with related topics, feel free to ask!