The area of a rectangle, A, in square meters is modeled by the quadratic function A(w)=w(16−w), where w represents the width of the rectangle in meters. The graph of A(w) is given below. How long is the width so that the area of the rectangle is at its maximum?

8 meters

16 meters

32 meters

64 meters

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)