Beth wants to plant a garden at the back of her house. She has 32m of fencing. The area that can be enclosed is modelled by the function A(x) = -2x2 + 32x, where x is the width of the garden in metres and A(x) is the area in square metres. What is the maximum area that can be enclosed? Please help :(
1 answer:
Answer:
The maximum area that can be obtained by the garden is 128 meters squared.
Step-by-step explanation:
A represents area and we want to know the maximum.
is a parabola. To find the maximum of a parabola, you need to find it's vertex. The y-coordinate of the vertex will give us the maximum area.
To do this we will need to first find the x-coordinate of our vertex.
to then .
To find the y that corresponds use the equation that relates y and x.
The maximum area that can be obtained by the garden is 128 meters squared.
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The answer is C 84. Your welcome