A rectangular room is 1.6 times as long as it is wide, and its perimeter is 31 meters. Find the dimension of the room.

Question

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Answer 1

1.6W = L

Perimeter = 2L +2W = 31, divide by 2

L+W = 31/2 = 15.5

1.6W +W = 15.5 (1.6W +W = 2.6W)

2.6W = 15.5 divide by 2.6

W= 15.5/2.6 = about 5.96 or 6 meters

L = 1.6 x about 9.54 = about 9.5 meters

9.5 + 6 = 15.5.

15.5 x 2 = 31 = perimeter