Final answer:
To solve this problem, use algebra to find the length and width of the rectangle given its perimeter and a relationship between the length and the width.
Step-by-step explanation:
To solve this problem, let's use algebra. Let the length of the rectangle be x feet. Then, the width would be 3x + 5 feet. The formula for the perimeter of a rectangle is P = 2(length + width). Substituting the given values, we get 314 = 2(x + 3x + 5). Simplifying the equation gives us 314 = 8x + 10. Moving the constants to the right side, we have 8x = 304. Dividing both sides by 8, we find x = 38.
The length of the rectangle is therefore 38 feet. To find the width, we substitute x = 38 into the expression for the width: 3(38) + 5 = 119. So, the width of the rectangle is 119 feet.
Learn more about Rectangle characteristics