Asked by Mike
Inside a triangle formed by the line 3x+4y=1 and the positive coordinate axis, inscribe a square with three of the vertices on the coordinate axes and one vertex on the line.
1) Find the length of a side of the square.
In the triangular region described above inscribe a rectangle that has one vertex in the origin of the coordinate system and another vertex - on the line. Find the dimensions of this rectangle, if it is twice as wide as it is tall.
1) Find the length of a side of the square.
In the triangular region described above inscribe a rectangle that has one vertex in the origin of the coordinate system and another vertex - on the line. Find the dimensions of this rectangle, if it is twice as wide as it is tall.
Answers
Answered by
Steve
you want the width equal to the height. So, y=x and
x = (1-3x)/4
4x = 1-3x
x = 1/7
For the rectangle, you want x = 2y
so solve a similar equation.
x = (1-3x)/4
4x = 1-3x
x = 1/7
For the rectangle, you want x = 2y
so solve a similar equation.