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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

User Teo Mrn
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1 Answer

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Answer:

40 meters

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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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.

User Pauli
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