A rectangular room is 22 meters longer than it is wide, and its perimeter is 1616 meters. find the dimension of the room.

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03-10-2017
Mathematics

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A rectangular room is 22 meters longer than it is wide, and its perimeter is 1616 meters. find the dimension of the room.

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kpaben1359 kpaben1359 · Answer 1 · 2017-10-05T04:48:59+02:00

kpaben1359 kpaben1359

05-10-2017

w= width; L= length =w+22m; p= perimeter= 2(L+w)
1616 meters= 2 (L+w) substitute for L
1616m+ 2(w+22m+w) divide each side by 2

808m= 2w+22m subtract 22m from each side
786m=2w divide each side by 2
393m=w Anwer: The width is 393 meters
L=w+22m=393m+22m=415m Answer: The length is 415 meters

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