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

Question

Neporo4naja [7]

2 years ago

10

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

Mathematics

1 answer:

frez [133] · Answer 1 · 2022-03-26T03:23:27+03:00

9514 1404 393

Answer:

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.

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<em>Additional comment</em>

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.