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The length of a rectangle is one inch less than three times the width. The perimeter is 134 inches. What is the length of the rectangle?

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Final answer:

To find the length of the rectangle, set up an equation using the given information and solve for 'L'.

Step-by-step explanation:

To find the length of the rectangle, we first set up a equation based on the given information. Let's represent the width as 'w' and the length as 'L'. The problem states that the length is one inch less than three times the width, so we can write the equation as: L = 3w - 1. The perimeter of a rectangle is given by the formula: P = 2(L + w). Substituting the value of L from the first equation into the second equation, we get: 134 = 2((3w - 1) + w). Simplifying this equation will help us find the value of 'w' and then the value of 'L'.

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