Geometry word problem

Question

Robin and Dovey have 4 pet pigeons that they have trained to race. They release the birds at robins house and then drive to doveys to collect them.  To drive from robins to Doveys  because of one-way streets, they go 3.1 km north, turn right and go 1.7 km east, turn left and go to 2.3 km north, and go .9 km east, turn left and go 1.2 km north, turn left and go  4.1 km west, and finally turn left and go .4 km south. How far did the pigeons have to fly to go directly from robins house to Doveys house?

Answer 1

they go 2.6 km east altogether

they go 6.6 km north altogether

they go back west 4.1 km

and 0.4 km south

Dovey's house is northwest of Robin's house

the right triangle has the hypotenuse going down from left to right

the horizontal leg is 4.1-2.6=1.5 km

the vertical leg is 6.6-0.4=6.2 km

find the hypotenuse

1.5²+6.2²=P²

2.25+38.44=p²

40.69=p²

p=√40.69

p=6.37887 km is the distance the pigeons had to fly       round as you like