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The length of a rectangle is 5 inches more than 3 times the width. The area of the rectangle is 68 square inches. What are the dimensions of the rectangle?

Answer :

Final answer:

To find the dimensions of the rectangle, set up an equation based on the given information and solve it.

Explanation:

To find the dimensions of the rectangle, we can set up two equations based on the given information. Let's assume the width of the rectangle is 'w' inches. The length is then '3w + 5' inches. The area of the rectangle is given as 68 square inches, so we have the equation:

w * (3w + 5) = 68

Simplifying this equation, we get:

3w² + 5w - 68 = 0

We can solve this quadratic equation to find the value of 'w', which in turn will help us find the length of the rectangle.

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