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

Question

Mathematics

Nico Huerta

17 December, 13:03

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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Answers (1)

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Christine Greer · Answer 1

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