There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
Answer:
5 ( x + 69)/4
Step-by-step explanation:
A term is a number or variable in a math sentence (such as an expression or equation).
Example:
a + 2b + c + 5
5 is a constant; a,b, c are all variables.
What is the question for the problem are you trying to figure out area or perhaps perimeter and of what the shaded or non shaded next time include that in your answer.
