Hi there!
Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
Answer:
It costs $154.88 to build the fences.
Step-by-step explanation:
Perimeter of square =
We are given that A garden is in the shape of a square with a perimeter of 56 feet.
So,
Side =
So, Side of square park = 14 feet
One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.
Outer length = 14+2+2=18 feet
So, Perimeter of outer fence =
Cost of fencing 1 foot = $1.21
Cost of fencing 56 feet =
Cost of fencing 72 feet =
Total cost = 67.76+87.12=154.88
Hence It costs $154.88 to build the fences.