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.
+36915 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
