How to Find the Dimensions of a Rectangular Trampoline

What is the area of a rectangular trampoline?

The area of a rectangular trampoline is 112ft². The length of the trampoline is 6ft greater than the width of the trampoline. How can we find the dimensions of the trampoline?

Solution:

This Math problem involves solving a quadratic equation to find the dimensions of a rectangular trampoline.

Would you like to know how to find the dimensions of a rectangular trampoline given its area and the relationship between its length and width? Let's dive into the solution in detail!

The question revolves around the area of a rectangular trampoline and a quadratic equation representing the relationship between the length and width of the trampoline. The given equation in the problem is a quadratic equation and we can solve it for 'w' (which represents the width of the rectangle), using the quadratic formula which is -b ± sqrt(b²-4ac) / 2a. Here, a = 1, b = 6, c = -112. Substituting these values into the formula, we get two possible results for 'w'. Only the positive result is valid as width cannot be negative. The length can be found by adding 6 to the width as it is 6ft greater than the width.

By solving the quadratic equation, we can determine the width and length of the rectangular trampoline based on the given area. Understanding quadratic equations and their applications can be beneficial in various problem-solving scenarios. If you're interested in learning more about Quadratic Equations, you can explore additional resources and examples to enhance your knowledge in mathematics.