Final answer:
To find the dimensions of the rectangle, we can set up equations based on the given information. By solving these equations, we can determine that the length of the rectangle is 22 inches and the width is 8 inches.
Step-by-step explanation:
To solve this problem, we can set up equations based on the given information. Let's denote the width of the rectangle as 'w'. The length of the rectangle is stated as 6 more than twice the width, which can be written as 2w + 6. The perimeter of a rectangle is equal to twice the sum of its length and width, so we can set up the equation 2(2w + 6 + w) = 62. Simplifying this equation gives us 6w + 12 = 62. Subtracting 12 from both sides, we get 6w = 50. Dividing both sides by 6, we find that w = 8.33 (rounded to the nearest hundredth). Since the width cannot be a fraction, we can round it to the nearest whole number, which is 8. So, the width of the rectangle is 8 inches. Substituting this value back into the equation for the length, we find that the length is 2(8) + 6 = 16 + 6 = 22 inches. Therefore, the dimensions of the rectangle are Length = 22 inches, Width = 8 inches.