Final answer:
The width and length of the rectangle are 14 meters and 45 meters, respectively, calculated by using the given perimeter and the relationship between length and width.
Step-by-step explanation:
To solve for the length and width of a rectangle where the length (L) is 3 more than 3 times the width (W), and the perimeter (P) is 118 meters, we can set up the following equations based on the perimeter formula P = 2L + 2W:
Let W be the width of the rectangle.
Then L = 3W + 3 as the length is 3 more than 3 times its width.
The perimeter P is given as 118 meters, so we have the equation 118 = 2(3W + 3) + 2W.
Simplifying this equation, we get 118 = 8W + 6.
Subtract 6 from both sides to get 112 = 8W.
Divide both sides by 8 to find the width: W = 14 meters.
Now substitute the value of W into the equation for L: L = 3(14) + 3 = 45 meters.
Thus, the width of the rectangle is 14 meters, and the length is 45 meters.