Missing corner function
A corner is removed from a rectangle. The rectangle measures 20 cm by 10 cm.
The right triangle that is removed measures (a+1) cm by (a-1) cm as shown on the diagram.
The shape that remains is a pentagon.
The perimeter of the pentagon depends on the value of a.
Determine and simplify the function for P, the perimeter of the pentagon in terms of a.
Type your function into the graphing applet below.
Compare the test point on the function to the values of perimeter in the applet above to validate your calculation.