the ratio of the length of a rectangular floor to its width is 3:2 if the length of the floor is 12 meters what is the perimeter of the floor in meters

9514 1404 393

  40 meters

Step-by-step explanation:

The ratio of width to length is 2/3, so the width of the floor is ...

  width = (2/3)(12 m) = 8 m

The perimeter is found from ...

  P = 2(L +W)

  P = 2(12 m +8 m) = 40 m

The perimeter of the floor is 40 m.

Additional comment

As above, the perimeter is twice the sum of length and width. In terms of ratio units, that is p = 2(3 +2) = 10. The length is 3 ratio units, so the perimeter is 10/3 times the length. (10/3)(12 m) = 40 m.