Answer:
Samuel needs 23 pieces of wood. Theresa needs 46 pieces of wood.
Step-by-step explanation:
Samuel:
= 23.06 = 23 pieces of wood
Theresa:
If Theresa needs twice as much wood as Samuel needs, and Samuel needs 23 pieces of wood, then she needs 46 pieces of wood, since 23 x 2 = 46.
Answer:
The maximum area possible is 648 squared meters.
Step-by-step explanation:
Let the length of the existing wall be .
And let the width of the fence be .
The area of the enclosure will be given by:
Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:
We want to maximize the area.
From the perimeter, we can subtract 2<em>w</em> from both sides to obtain:
Substituting this for our area formula, we acquire:
This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.
We can distribute:
Find the vertex of the quadratic. Using the vertex formula, we acquire that:
So, the maximum area is: