Question
A farmer will enclose a rectangular region along a river. He will not fence along the river.
1. If he uses 800ft of fencing, express the length of the rectangle in terms of w, the width.
2. Express the area of the enclosed rectangle in terms of the width, w.
3. What should the width be so that the enclosed area is 80,000 sqft
1. If he uses 800ft of fencing, express the length of the rectangle in terms of w, the width.
2. Express the area of the enclosed rectangle in terms of the width, w.
3. What should the width be so that the enclosed area is 80,000 sqft
Answers
oobleck
L = (800-2w)/2 = 400-w
a = w(400-w)
w(400-w) = 80000
solve for w as usual
a = w(400-w)
w(400-w) = 80000
solve for w as usual
oobleck
oops. I missed the part about the river.
So, assuming the length is along the river,
L = 800-2w
If the width is along the river,
L = (800-w)/2
and proceed as above
So, assuming the length is along the river,
L = 800-2w
If the width is along the river,
L = (800-w)/2
and proceed as above