Question

A rectangle is rawn in the first quadrant where one of its vertices is at the origin and the opposite vertex is a point on a graph: y=72-2x


Determine the coordinates for the vertex of the rectangle that lies on the line y=72-2x that would create the rectangle with the greatest area..




To approach this, can I make y=(x)(72-2x) in vertex form then just find the vertex from that?

Answer 1

in this situation...all of the points are possible lengths and widths

y = 72 -2x

x y
---------
1 70 the width would be 1 and 70 would be length area = 70
2 68 2 68 area = 136

just need to find the pair of points that create the biggest area

Answer 2

try vertex 18, 36

Answer 3

oh

Answer 4

that would work right @Jim766

Answer 5

I got (13,338)

Answer 6

that is not a point on the line
y = 72-2x
338 = 72 - 2(13) it doesnt equal

Answer 7

awe poo alright

Answer 8

you have a graphing calc?