Make a sketch of the region enclosed by the line \(l\): 2x + 5y = 10 and the positive coordinate axes. Draw a square that fits snugly into the triangular region, with one corner at the origin, the opposite corner on the line, and other two vertices on the axes. Find the side length of the square.

 Jun 26, 2021

x and y will have the same value for the vertex that is  on the given  line         so x = y at that point


sub into the equation of the line


2x + 5x = 10

x = 10/7      this is the side length

 Jun 26, 2021
edited by ElectricPavlov  Jun 26, 2021

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