The plan

The plan of the housing estate is in three scales 1: 5000,1: 10000,1: 15000. The distance between two points on a plan with a scale of 1: 10000 is 12 cm. What is this distance on the other two plans? What is this distance?

Correct result:

x₁ =  24 cm
x₃ =  8 cm
s₂ =  1.2 km

Solution:

$$\begin{gathered} m_1=5000 \\ {m}_2=10000 \\ {m}_3=15000 \\ {x}_2=12\text{ cm } \\ s=x_2\cdot m_2=12\cdot 10000=120000\text{ cm } \\ {x}_1=s\mathrm{/}{m}_1=120000\mathrm{/}5000=24\text{ cm} \end{gathered}$$

$x_3=s\mathrm{/}{m}_3=120000\mathrm{/}15000=8\text{ cm}$

$$\begin{gathered} s_1=s\to \text{ m}=s\mathrm{/}100\text{ m}=120000\mathrm{/}100\text{ m}=1200\text{ m } \\ {s}_2=s_1\to \text{ km}=s_1\mathrm{/}1000\text{ km}=1200\mathrm{/}1000\text{ km}=1.2\text{ km}={\displaystyle \frac{6}{5}}\text{ km} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Map scale
  The rectangular plot has in a scale of 1: 10000 area 3 cm² on the map. What content does this plot have on a 1:5000 scale map?
• Scale of the map
  The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
• Two monuments
  The distance between two historical monuments on a map with a scale of 1: 500000 is 48 mm. Find the actual distance between these monuments in km.
• Two villages
  On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
• Scale of the map
  Determine the scale of the map, which is the actual distance of 120 km l represented by segment long 6 cm.
• Geometric plan
  At what scale the building plan if one side of the building is 45m long and 12mm long on a plan?
• Map
  On the tourist map at a scale of 1 : 50000 is distance between two points along a straight road 3.7 cm. How long travels this distance on a bike at 30 km/h? Time express in minutes.
• Map 2
  At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
• Scale of plan
  On the plan of the village in the scale of 1: 1000 a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares.
• Scale 3
  Miriam room is 3.2 meters wide. It is draw by line segment length 6.4 cm on floor plan. In what scale it is plan of the room?
• Map scale
  Garden has on plan on a scale of 1: 150 width 22 cm and length 35 cm. What is the real area of the garden?
• Hřiště
  Map scale is 1: 5000. The playground is rectangular and on the map has dimensions 10 cm and 5 cm What is area of playground in square meters in reality?
• Plan of the village
  Plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality.
• Plot
  The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1: 500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size.
• Hectares
  Determine the area of the rectangular land (in ha), which has dimensions of 3 cm and 4.5 cm on the plan with a scale of 1: 40,000.
• On the
  On the map of Europe made at a scale of 1: 4000000, the distance between Bratislava and Paris is 28 cm. At what time an airplane flying at 800 km/h will fly this journey?
• Plan scale
  At what scale is drawn plan of the building, where one side of the building is 45 meters long is on the plan expressed by a straight line 12 mm long.