Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 5 cm.
(a) 1 cm on the first map represents 3.5 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail according to the first map?
(b) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 6 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map?
please show your work.
Map : Actual 1cm : 3.5km 1cm : 3500m 1cm : 350 000 cm
Scale Factor: 1 : 350 000
-------------------------------------------------------------------------------------------- Answer: Scale factor for map 1 to actual is 1: 350 000 --------------------------------------------------------------------------------------------
1 cm : 3.5 km 8cm : 3.5 x 8 km 8cm : 28 km
-------------------------------------------------------------------------------------------- Answer: The actual trail according to the first map is 28km --------------------------------------------------------------------------------------------
(b)
First Map : Second Map 8cm : 5 cm 1cm : 0.625 cm
Scale Factor 1 : 0.625
-------------------------------------------------------------------------------------------- Answer: The scale factor from map 1 to map 2 is 1: 0.625 --------------------------------------------------------------------------------------------
Map 1: Map 2 1mm : 0.625mm 4mm : 0.625 x 4 mm 4mm: 2.5mm
Map 1:Map 2 1mm : 0.625mm 6mm : 0.625 x 6 mm 6mm : 3.75mm
-------------------------------------------------------------------------------------------- Answer: The side length on the second are 1.875mm, 2.5mm and 3.75mm --------------------------------------------------------------------------------------------
