The perimeter of a rectangle is 48 meters. Find its length and width if the length is 3 times the width

P = 2(L+W)

48 = 2(3w+w)
48 = 2(4w)
48 = 8w
48/8 = 8w/8
6 = w

3w
= 3(6)
= 18

Answer: The length is 18 meters and the width is 6 meters.

the width i the single unit they give you so make it the variable say W
the length is three times the width so it is 3W

Perimeter= 2width + 2length so substitute in the values you created

48=2W+2(3W)
48=2W+6W
48=8W
W=6
width=6
length= 3W
length= 18

2(3W + W) = 48

8W = 48, so W = 6 and L = 18

Check it the perimeter of a rectangle 18 m by 6 m has the appropriate perimeter.

Width: 12m
Length: 36m