SOLUTION: The length of a rectangle dinning hall is 8 feet less than twice its width. The perimeter of the room will be 134 feet. What are the dimensions of the dinning hall?

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Question 1127787: The length of a rectangle dinning hall is 8 feet less than twice its width. The perimeter of the room will be 134 feet. What are the dimensions of the dinning hall?
Answer by MathLover1(20850) About Me  (Show Source):
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if the length of a rectangle dinning hall L is 8ft less than twice its width W, we have
L=2W-8ft.......eq.1
if the perimeter of the room will be P=134ft, then
134ft=2%28L%2BW%29
134ft%2F2=L%2BW
67ft=L%2BW..............substitute L from eq.1
67ft=2W-8ft%2BW....solve for W
67ft%2B8ft=3W
75ft=3W
W=75ft%2F3
W=25ft

go to eq.1, substitute W


L=2W-8ft.......eq.1
L=2%2A25ft-8ft
L=50t-8ft
L=42ft

the dimensions of the dinning hall are 42ft by 25ft