SOLUTION: the perimeter of a rectangular field is 276 m. the length is 18 m longer than the width. what are the dimensions of the field? (show work)

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Question 630984: the perimeter of a rectangular field is 276 m. the length is 18 m longer than the width. what are the dimensions of the field? (show work)
Answer by Taino(8) About Me  (Show Source):
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Given: A rectangular field
Length of the field is 18 m longer than the width (L = W + 18)
Perimeter (P) = 276 m

Determine: The dimensions of the field.

Equation: P = 2*L + 2*W ----> 2*(W + 18) + 2*W ----> 2*w + 36 + 2*W

P = 4*W + 36 = 276 ----> 4*W = 276 - 36 ----> W = 240 / 4 = 60m
W = 60 m

L = W + 18 = 60 + 18 = 78m

Therefore the dimensions of the field are: W = 60 m and L = 78 m