SOLUTION: The length of a rectangular field is 50 meters more than twice its width. If the perimeter is 700 meters, find the dimensions of the field. ALSO The cost of renting a subcom

Algebra ->  College  -> Linear Algebra -> SOLUTION: The length of a rectangular field is 50 meters more than twice its width. If the perimeter is 700 meters, find the dimensions of the field. ALSO The cost of renting a subcom      Log On


   

Question 247502: The length of a rectangular field is 50 meters more than twice its width. If the perimeter is 700 meters, find the dimensions of the field.
ALSO
The cost of renting a subcompact car from Super Rental is $20 a day plus 25 cents per mile. How far can Allison drive in one day if she has only $75?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
P = 2L + 2W = 700 (given)
L = 2W + 50 (length = 50 more than twice width)
P = 2(2W+50) + 2W = 700
6W + 100 = 700
6W = 600
W = 100
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L = 2*100 + 50 = 250.
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Always check your work!
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2L = 500
2W = 200
P = 700
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One down...
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Total cost = $20 + 25 cents per mile * x miles.
$75 is all she has.
$75 = $20 + 25 cents per mile * x miles.
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Subtract 20 from both sides
55 = .25x
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After you pay $20 for the base rate, you have $55 available for paying for mileage @ .25 per mile.
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Divide both sides by .25
220 = x
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Always check, even when you're tired...
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220 * .25 = 55
Plus $20 = $75
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So the answer is she can drive 220 miles.