Answer:
Dimensions of rectangle : Width = [tex]2x[/tex] , Length = [tex]49 - x^2[/tex]
Area of Rectangle = [tex]98x - 2x^3[/tex]
Step-by-step explanation:
A rectangle constructed with its base on the x-axis and two of its vertices on the parabola
Supposing coordinates of upper right vertex of rectangle are P = [tex](x,y)[/tex]
Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.
Width of rectangle : [tex]2x[/tex]
Length of rectangle : [tex]y = 49 - x^2[/tex]
Area of Rectangle = Length x Width
([tex]2x[/tex]) ([tex]49 - x^2[/tex])
= [tex]98x - 2x^3[/tex]
