SOLUTION: Please help.
A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals.
4x + 3y = 100
Write the area A of the enclos
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Question 122435: Please help.
A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals.
4x + 3y = 100
Write the area A of the enclosed region as a function of x
So far this is what I’ve got-I figured out the function of x and plugged it into the Area formula, but that’s where I get stuck.
P = 100
4x + 3y = 100
4x + 3y – 3y = – 3y + 100
AMP Parsing Error of [4x = (– 3y + 100)/4]: Invalid expression '–3\y+100)/4': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
A = 2x(y)
AMP Parsing Error of [A =[ 2(-3/4y + 25)]y]: Invalid expression '[2(-3/4\y+25)]y': syntax error at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 203.
.
I know x = 10 and y = 20 works for the perimeter, but don’t know how to write it to show that. When I graph (making A correspond to y and the y correspond to the x), I don’t get the same area as in the table.
I need to add more values to the table.
X Y Area
2 92/3 368/3 ≈123
4 28 224
Thank you for any help you can give!!!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
4x + 3y = 100 __ subtracting 4x __ 3y=100-4x __ dividing by 3 __ y=(100-4x)/3
A = 2x(y) __ substituting for y __ A=2x(100-4x)/3 __ A=(200x-8x^2)/3
so f(x)=(200x-8x^2)/3
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