Final answer:
To find the length of the rectangle, use the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width. Plug in the given values and solve for L.
Step-by-step explanation:
To find the length of the rectangle, we need to use the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width.
Given that the perimeter is 22 m and the width is 4 m, we can plug these values into the formula:
22 m = 2L + 2(4 m)
Now we can solve for L:
22 m = 2L + 8 m
Subtracting 8 m from both sides:
14 m = 2L
Dividing by 2:
L = 7 m
Therefore, the length of the rectangle is 7 m.