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) About Me  (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) About Me  (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) About Me  (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 = highlight_green%281620%29%29 square units
You can do the check!!
If you need a complete and detailed solution, let me know!!
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