SOLUTION: The perimeter of a rectangular field is 168 feet, the field is 36 feet wide. How long is the field?
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Question 866635
:
The perimeter of a rectangular field is 168 feet, the field is 36 feet wide. How long is the field?
Found 2 solutions by
JulietG, jim_thompson5910
:
Answer by
JulietG(1812)
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2L + 2W = 168
w = 36
Substitute the value of W into the first equation.
2L + 2(36) = 168
2L + 72 = 168
Subtract 72 from each side
2L = 96
Divide each side by 2
L = 48
Answer by
jim_thompson5910(35256)
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P = 168 (given perimeter)
W = 36 (given width)
L = unknown (we'll leave it as L for now)
P = 2*(L+W) ... perimeter of rectangle formula
168 = 2*(L+36) ... plug in L = 36 and P = 168, then solve for L (ie isolate it)
168 = 2*L+2*36
168 = 2L+72
168-72 = 2L
96 = 2L
2L = 96
L = 96/2
L = 48
The length of the field is
48 feet