<u><em>Answer:</em></u>
Length of rectangle = 16 meters
Width of rectangle = 10 meters
<u><em>Explanation:</em></u>
Let the length of the rectangle be x meters
We are given that the width of the rectangle is 6 m shorter than the length
<u>This means that:</u>
width of rectangle = x - 6 meters
We are given that the perimeter of the rectangle is 52 meters
<u>Perimeter of the rectangle is calculated using the following rule:</u>
Perimeter = 2(length + width)
<u>Substitute with the givens in the above equation and solve for x as follows:</u>
Perimeter = 2(length + width)
52 = 2(x + x - 6)
26 = 2x - 6
32 = 2x
x = 16
<u>This means that:</u>
length of rectangle = x = 16 meters
width of rectangle = x - 6 = 16-6 = 10 meters
Hope this helps :)