Final answer:
To find the length of the rectangle, we can set up an equation using the given information and solve for the length. So, the length of the rectangle is 19 m.
Step-by-step explanation:
To solve this problem, we can set up an equation using the given information. Let's denote the width of the rectangle as w. Since the length is 5 m less than four times the width, we can express the length as 4w - 5. The perimeter of a rectangle is found by adding up all of its sides, so we can set up the equation 2w + 2(4w - 5) = 50. Now, we can solve the equation to find the value of w.
Simplifying the equation gives us 2w + 8w - 10 = 50. Combining like terms gives us 10w - 10 = 50. Adding 10 to both sides gives us 10w = 60. Dividing both sides by 10 gives us w = 6.
Therefore, the width of the rectangle is 6 m. The length can be found by substituting this value back into the expression for the length, giving us 4(6) - 5 = 24 - 5 = 19. So, the length of the rectangle is 19 m.