Answer:
1.5625
Step-by-step explanation:
Remark.
The problem is a bit indistinct. Where exactly are the two edges of the road? I'm going to say that they are the x intercepts, but that may not be true. Certainly it does not have to be true at all.
Graph.
A graph has been made for you. The maximum is marked for you. It is an approximation The actual height can be more accurately found.
Height
y = (-1/200)(x - 16)(x + 16)
y = (-1/200)*(x^2 - 256)
The maximum height for this graph only is when x = 0.Other graphs require completing the square.
y = (-1/200) * (-256)
y = 1.28 exactly. I thought the graph might be rounding the answer. It is not.
Well, $107 times 7 is $749, is that what ypu needed?
Area of top triangle = 1/2(3.5)(9) = 15.75
Area of bottom left triangle = 1/2(2)(2) = 2
Area of bottom right triangle = 1/2(2)(5) = 5
Area of square = 2 x 2 = 4
Area of figure = 15.75 + 2 + 5 + 4 = 26.75
answer
26.75 units^2