Given that, the length of the garden is 2(x+6)feet and width is 3.5x feet.
So, length : l = 2(x+6) and width = 3.5x.
To find the fence of the garden we need to find the perimeter of the rectangle.
Formula to find the perimeter is:
p = 2l + 2b
= 2*2(x+6) + 2*3.5x
= 4(x+6) + 7x By multiplication.
= 4x + 24 + 7x By distribution property.
= 11x + 24 Combining the like terms.
So, he need to buy 11x + 24 feet fencing.
Hope this helps you!
Answer:
Step-by-step explanation:
-24, 24, 48, 72
Hope this helps :)
Critical points occur when
, which happens for
and
.
Check the sign of the second derivative at each critical point to determine the function's concavity at that point. If it's concave (
), then a maximum occurs; if it's convex (
), then a minimum occurs.
You have
and so
This means a maximum of
and a minimum of
.
