SOLUTION: The length of a rectanlge is six units less than three times the width. If the perimeter is 84 units, find the demesions.
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Question 1010375: The length of a rectanlge is six units less than three times the width. If the perimeter is 84 units, find the demesions. Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! L= 3W-6 We will use this value for L below.
The perimeter is
2L + 2W= 84 Now we substitute for L as we said above:
2(3W-6) + 2W= 84
6W-12+2W= 84 Now add 12 on both sides and add W on left:
8W= 96 Divide both sides by 8:
W= 12 This is the width, and the problem says that the length is:
L= 3W-6 Plug in the value for W:
L= 3(12)-6
L= 36-6
L= 30 This is the length
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Check:
2L+2W= 84
2(30)+2(12)= 84
60+24= 84
84= 84 We have the correct answer.
J
