Question 845186
First, start off with the formula for the perimeter of a rectangle. 

P = 2L + 2W. 

Since we want 32 meters of fencing to surround this garden, 32 ft is the perimeter of the garden. We know that the length of the garden is 10 ft so right away we can plug in the length l with 10 ft.

32 = 2(10) + 2w.

Now, we simply solve for w to find the width.

32 = 20 + 2w

Subtract each side by 20


12 = 2w

Divide each side by 2

6  = w. Therefore the width is 6 ft.