For the problem presented with the specific given values, the value of x that will give the largest area in square feet for the garden is 5. I am hoping that this answer has satisfied your query about this specific question.
Answer:
Step-by-step explanation:
Alright, lets get started.
The length of the rectangular garden is x
The width of the rectangular garden is (10-x)
So the area will be = [tex]length * width[/tex]
So the area will be = [tex]x*(10-x)= 10x-x^2[/tex]
For this area to be maximum, the derivative of this area must be equal to zero.
[tex]\frac{d}{dx}(10x-x^2) = 0[/tex]
[tex]10-2x = 0[/tex]
[tex]2x=10[/tex]
[tex]x=5[/tex]
Hence the value of x will be for largest area. Β : Β Answer
Hope it will help :)
