Question 133489This question is from textbook frogs, fleas, and painted cubes
: I'm having promblems understanding how to find the info i need to graph this equation.....
I could possibly have the wrong equation.
L x 15 -L ( this is the eqution I came up with)
the original equation is .... The rectangle has a perimeter of 30 meters and a side length of l, A=?
Thank you for your help
This question is from textbook frogs, fleas, and painted cubes
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! So far, so good.
 is absolutely correct. But you probably want to put this into standard form:
This is just a quadratic in the form  , substituting L for the independent variable x and with coefficients as follows:
The vertex of the parabola has an x-coordinate at  , so 
The y-coordinate of the vertex is equal to the value of the function at the x-coordinate, so 
Hence the vertex of the graph is at (15/2,225/4).
Factors of  are  , so zeroes of the polynomial are 0 and 15, meaning the x-intercepts are at (0,0) and (15,0).
Pick a couple other values for L:
If L = 1, then  , and by symmetry, if L = 14, A = 14
If L = 2, then  , and by symmetry, if L = 13, A = 26
Just plot the points and sketch a smooth curve.
Super-Double-Plus Extra Credit. Just looking at this picture, what specific quadrilateral gives the maximum area for a given perimeter?
|
|
|
