Taylor wants to plant a 50-sqft rectangular garden along the side of her house. Because the garden is against the house, she doesn't need fencing along that side of the garden
| garden |
1. find a formula for the amount of fencing require F in terms of w and l
2. use the fact that the area of the garden is to be 50 sqft to help find a formula for the amount of fencing required F as a function of just the width
3. use calculus to find the dimensions (w and l) f the garden which requires the minimum amount of fencing. Explain how you know the value you found is the minimum using the first or second derivative test.
4. what is the minimum amount of fencing needed?