Answer:
The sum of all 5 boundaries, in reality corresponds to 8.4 km
Step-by-step explanation:
1:50 000 means that 1 cm in the map corresponds to 50 000 cm in reality, therefore, we only need to change units using the mentioned equivalency.
a) 1st side.
(2.5 cm in map)*(50 000 cm in reality / 1 cm in map) = 2.5* 50 000 cm in reality = 125 000 cm in reality
Now for obtaining the measure in km, we need to use the equivalency between centimeters and kilometers (100 000 cm = 1 km)
(125 000 cm) * (1 km / 100 000 cm) = 1.25 km
b) 2nd side.
(1.8 cm in map)*(50 000 cm in reality / 1 cm in map) = 1.8* 50 000 cm in reality = 90 000 cm in reality = (90 000 cm) * (1 km / 100 000 cm) = 0.9 km
c) 3d side.
(3.5 cm in map)*(50 000 cm in reality / 1 cm in map) = 3.5* 50 000 cm in reality = 175 000 cm in reality = (175 000 cm) * (1 km / 100 000 cm) = 1.75 km
d) 4th side.
(5 cm in map)*(50 000 cm in reality / 1 cm in map) = 5* 50 000 cm in reality = 250 000 cm in reality = (250 000 cm) * (1 km / 100 000 cm) = 2.5 km
e) 5th side.
(4 cm in map)*(50 000 cm in reality / 1 cm in reality) = 4* 50 000 cm in reality =200 000 cm in reality = (200 000 cm) * (1 km / 100 000 cm) = 2 km
Therefore, the length of the boundaries in reality are: 1.25 km, 0.9 km, 1.75 km, 2.5 km and 2 km, which add up to: 8.4 km.