The perimeter of a rectangle playground is 46 m. If the length of the park is 7 m, what is the width of the park?

width is 16 m

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2 (l+w)

Substituting the values in

46 = 2 (7+w)

Divide each side by 2

46/2 = 2/2 (7+w)

23 = 7+w

Subtract 7 from each side

23-7 = 7-7+w

16 = w

width = 16 m

Step-by-step explanation:

If perimeter for a rectangle = 2x length + 2x width, then 2 x 7 = 14.

46 - 14 = 32

32/2 = 16

Hence why 16 is the width.