SOLUTION: the perimeter of a rectangular window is 24 feet. The width of the window is four feet more than the length. What are the dimensions of the window?
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Question 951669: the perimeter of a rectangular window is 24 feet. The width of the window is four feet more than the length. What are the dimensions of the window?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
L=length; W=width=L+4ft; P=perimeter=2(L+W)=24ft
P=2(L+W)
24ft=2(L+W) Divide each side by 2.
12ft=L+W Substitute for W
12ft=L+(L+4ft) Subtract 4ft from each side.
8ft=2L Divide each side by 2.
4ft=L ANSWER 1:The length is 4 feet.
W=L+4ft=4ft+4ft=8ft ANSWER 2: The width is 8 feet.
CHECK:
P=2(L+W)
24ft=2(4ft+8ft)
24ft=2(12ft)
24ft=24ft
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