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

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) (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
.
L = 2*100 + 50 = 250.
.
Always check your work!
.
2L = 500
2W = 200
P = 700
.
One down...
.
Total cost = $20 + 25 cents per mile * x miles.
$75 is all she has.
$75 = $20 + 25 cents per mile * x miles.
.
Subtract 20 from both sides
55 = .25x
.
After you pay $20 for the base rate, you have $55 available for paying for mileage @ .25 per mile.
.
Divide both sides by .25
220 = x
.
Always check, even when you're tired...
.
220 * .25 = 55
Plus $20 = $75
.
So the answer is she can drive 220 miles.
RELATED QUESTIONS
The length of a rectangular field is 50 meters more than twice it's length. If the... (answered by checkley77)

the length of a rectangular field is 7 meters more than twice it width. the perimeter is... (answered by checkley77)

The perimeter of a rectangular field is 172 meters. Twice the width is 4 more than the... (answered by TimothyLamb)

The length of a rectangle field is twice its width. Find the length and width of the... (answered by unlockmath)

the length of a rectangular field is two more than twice the width. the perimeter is 137... (answered by addingup)

Suppose the length of a certain rectangle is 7 meters more than twice its width and the... (answered by addingup)

The length of a rectangle field is 8 meters more than twice the width. The perimeter is... (answered by josgarithmetic,MathTherapy)

The length of a rectangular playing field is 5 meters less than twice its width. if 230... (answered by checkley77,Electrified_Levi)

The length of a rectangular garden is 10 meters more than twice its width. If the area of (answered by jorel555)