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John is planning to put a rectangular pool in his backyard. The

length (L) of the pool must be greater than 24 feet and the
width (w) must be less than 14 feet. Find its quadratic equation.

1 Answer

2 votes

Final answer:

The student's question lacks details to create a specific quadratic equation for the pool. Typically, additional information like a relationship between length and width or a specific area is needed for a quadratic equation.

Step-by-step explanation:

The student is asked to find the quadratic equation for a rectangular pool where the length (L) must be greater than 24 feet, and the width (w) must be less than 14 feet. However, the question seems to be incomplete as it doesn't provide enough information to form a specific quadratic equation.

Usually, to find a quadratic equation based on dimensions such as length and width, additional information such as a relationship between the dimensions or a specific area would be necessary. If the student is looking for an equation relating the area of the rectangle (A) to its width (w), and if we know that L = 24 + w (for example), then the area would be A = (24 + w)(w), which simplifies to A = 24w + w^2, a quadratic equation in terms of w. But without more details, we cannot provide a precise answer.

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