SOLUTION: find the maximum area of rectangle with base on x-axis and one side on y-axis and one vertex on line y=-5x+90

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Question 864903: find the maximum area of rectangle with base on x-axis and one side on y-axis and one vertex on line y=-5x+90
Found 3 solutions by josgarithmetic, richwmiller, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
No maximum area for your description exists because this has no limit. One vertex is the y-intercept for the given line and another vertex is the origin. Your description gives no bound or restriction for how far to the left on the x axis the base extends. The rectangle, as described with the given line, is in quadrant number 2, as a quick sketch will show.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
the line goes from x=18 on the x axis
and to y=90 on the y axis
so the max area is 18*90=1620
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

find the maximum area of rectangle with base on x-axis and one side on y-axis and one vertex on line y=-5x+90


Point on y-axis, where x = 0: (0, 90)

Point on x-axis, where y = 0: (18, 0)

Area, since dimensions are 90 by 18 =  square units



You can do the check!! 



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