A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance for each distance between two points on a map. 4.9
To calculate the corresponding actual distance for a given distance on a map, you need to divide the map distance by the scale factor.
The scale factor of 1:1000 means that 1 unit on the map represents 1000 units in actual distance.
Therefore, to calculate the actual distance for a distance of 4.9 on the map, you would divide 4.9 by 1000:
Actual distance = 4.9 units / 1000 = 0.0049 units
So, the corresponding actual distance for a distance of 4.9 on the map is 0.0049 units.
NO
I apologize for the mistake in my previous response.
To calculate the actual distance for a given distance on a map, you need to multiply the map distance by the scale factor.
If the scale of the property map is 1:1000, it means that 1 unit on the map represents 1000 units in actual distance.
To find the corresponding actual distance for a distance of 4.9 on the map, you would multiply 4.9 by 1000:
Actual distance = 4.9 units * 1000 = 4900 units
So, the corresponding actual distance for a distance of 4.9 on the map is 4900 units.
Find the scale on each map. 3.2 cm on the map corresponds to an actual distance of 4 km.
To find the scale on the map, you need to determine how many units on the map correspond to one unit in the actual distance.
Given that 3.2 cm on the map corresponds to an actual distance of 4 km, we first need to convert the actual distance from kilometers to centimeters so that both are in the same unit.
Since 1 km is equal to 100,000 cm, the actual distance of 4 km is equal to 4 * 100,000 = 400,000 cm.
Now, we can calculate the scale by dividing the distance on the map by the corresponding actual distance:
Scale = Distance on the map / Corresponding actual distance
Scale = 3.2 cm / 400,000 cm
Simplifying this fraction, we find that the scale on the map is 1:125,000.
Find the scale on each map. An actual distance of 50 km corresponds to 4 cm on the map.
To find the scale on the map, you need to determine how many units on the map correspond to one unit in the actual distance.
Given that an actual distance of 50 km corresponds to 4 cm on the map, we first need to convert the actual distance of 50 km to centimeters, so that both values are in the same unit.
Since 1 km is equal to 100, 000 cm, the actual distance of 50 km is equal to 50 * 100, 000 = 5, 000, 000 cm.
Now, we can calculate the scale by dividing the distance on the map by the corresponding actual distance:
Scale = Distance on the map / Corresponding actual distance
Scale = 4 cm / 5, 000, 000 cm
Simplifying this fraction, we find that the scale on the map is 1:1, 250, 000.
The dimensions of a room are 4.2 m by 6 m. On a plan the longer side is equal to 4 cm. What is the length of the shorter side of this plan?
To find the length of the shorter side of the plan, we need to determine the scale of the plan. The scale indicates how many units on the plan correspond to one unit in the actual distance.
Given that the longer side of the room, which has a length of 6 m, is represented by 4 cm on the plan, we can calculate the scale as follows:
Scale = Length on the plan / Corresponding actual length
Scale = 4 cm / 6 m
To calculate the scale, we need to convert the length of 6 m to centimeters so that both values are in the same unit.
Since 1 m is equal to 100 cm, the actual length of 6 m is equal to 6 * 100 = 600 cm.
Now we can calculate the scale:
Scale = 4 cm / 600 cm
Simplifying this fraction, we find that the scale on the plan is 1:150.
To find the length of the shorter side of the plan, we multiply the scale by the actual length of the shorter side of the room:
Length on the plan = Scale * Corresponding actual length
Length on the plan = 1:150 * 4.2 m
To convert the result to centimeters, we multiply the actual length by 100:
Length on the plan = 1:150 * 4.2 m * 100 cm/m
Simplifying this expression, we find that the length of the shorter side on the plan is 2.8 cm.
To calculate the corresponding actual distance for a given distance on a map, you need to understand the concept of scale. In this case, the map's scale is 1:1000, which means that every unit on the map represents 1000 units in the actual world.
To find the corresponding actual distance, you can use the following formula:
Corresponding Actual Distance = Distance on Map × Scale
Now, let's apply this formula to your example:
Distance on Map = 4.9
Scale = 1:1000
Corresponding Actual Distance = 4.9 × 1000 = 4900
Therefore, the corresponding actual distance for a distance of 4.9 on the map is 4900 units in the actual world.