Krishna
0

Step 1:  Calculate the area of the entire region of the figure and area of the lake


                Area of the rectangular  region

                            length = 9 km

                        breadth = 4.5 km

                      Area = length * breadth = 9 * 4.5 = 40.5 km^2


              Area of the lake  

                        length = 4.5 - 2 = 2.5   km^2

                        Breath = 9 - 6 = 3   km^2  

                            Area = 2.5 * 3 = 7.5 km^2


Step 2: Identify the sample space and favourable outcomes

              The sample space = The entire area of the rectangular region where the helicopter can crash = 40. 5 km^2

              The favourable area to crash helicopter inside the lake = Area of the lake =  7.5   km^2


                  Therefore, P (helicopter crashed in the lake) = \frac{7.5}{40.5}


                                                                                         = \frac{75}{405}


                                                                                         = \frac{5}{27}