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The length of a room is 4 feet less than twice its width. The perimeter of

the room is 58 feet. What is the length of the room? *

1 Answer

5 votes

L=2W-4

PERIMETER=2L+2W

58=2(2W-4)+2W

58=4W-8+2W

58=6W-8

6W=58+8

6W=66

W=66/6

W=11 ANS. FOR THE WIDTH.

L=2*11-4

L=22-4

L=18 ANS. FOR THE LENGTH.

PROOF:

58=2*18=2*11

58=36+22

58=58

User Mark Adams
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