SOLUTION: the length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 56 m, find its length and width
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Question 1137108: the length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 56 m, find its length and width Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! 2L + 2W = Perimeter
2L + 2W = 56
and the problem says that:
L = W + 4
so let's substitute for Length in the equation above:
2(W + 4) + 2W = 56
2W + 8 + 2W = 56
4W = 48
W = 12 this is our width. Now find the length:
L = W + 4 = 12 + 4 = 16 this is our length
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Check:
2L = 2W = 56
2(16) + 2(12) = 56
32 + 24 = 56 Correct
