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What is the relationship between scale factor and perimeter?
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the actual playground. What is the area of the actual playground?
To find the area of the actual playground, you need to square the scale factor of 3, which equals 9. Then, multiply the area of the scale model (6 square yards) by this squared scale factor to get the area of the actual playground. Therefore, the area of the actual playground is 6 square yards multiplied by 9, which equals 54 square yards.
Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?
Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.
The dimensions of a rectangular playground are 50 times the dimensions of a scale drawing the playground The area of the scale drawing is 6 square feet What is the area of the actual playground?
If the dimensions of the actual playground are 50 times those of the scale drawing, then the length and width of the actual playground can be represented as 50 times the length and width of the scale drawing. The area of a rectangle is calculated by multiplying length by width. Since the area of the scale drawing is 6 square feet, the area of the actual playground will be ( (50 \times \text{length}) \times (50 \times \text{width}) = 2500 \times \text{(length} \times \text{width)} ). Therefore, the area of the actual playground is ( 2500 \times 6 = 15,000 ) square feet.
What kind of manipulative can use to teach the relationship between area and perimeter?
In general, there is no relationship between area and perimeter.
What show the size of an area on a map compared with the area actual size call?
The relationship between the size of an area on a map and its actual size is represented by the map scale. The scale provides a ratio or a fraction that shows how much smaller the map is compared to the actual area being represented. It helps users understand the distance and size relationships between locations on the map and in reality.
The relationship between the size of an area on a map and its actual size on the earth's surface is called the?
scale of the map. The scale of a map can be represented as a ratio, such as 1:10,000, indicating how much the distances on the map are reduced from the actual distances on the earth's surface.
What are the relationship between the area scale factor and the side length scale factor of similar figures?
The area scale factor is the square of the side length scale factor.
What on the map which indicates the relationship between a given measurement and the area it represents on map?
It is the scale.
What line on a map indicates the relationship between a given measurement and the area it represents on a map?
A scale on a map indicates the relationship between a given measurement and the area it represents. This scale helps with understanding distances and sizes accurately on the map.
What is the relationship between scale factor and perimeter?
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
What is the relationship between scale factor and area?
The area is directly proportional to the square of the scale factor. If the scale factor is 2, the area is 4-fold If the scale factor is 3, the area is 9-fold If the scale factor is 1000, the area is 1,000,000-fold
What is the line on a map which indicates the relationship between a given measurement and a area it represents on a map?
It is the scale.
The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the actual playground. What is the area of the actual playground?
To find the area of the actual playground, you need to square the scale factor of 3, which equals 9. Then, multiply the area of the scale model (6 square yards) by this squared scale factor to get the area of the actual playground. Therefore, the area of the actual playground is 6 square yards multiplied by 9, which equals 54 square yards.
How many type of scale in geography?
There are generally three types of scales in geography: map scale, geographical scale, and cartographic scale. Map scale refers to the relationship between a distance on a map and the actual distance on Earth. Geographical scale refers to the level of geographical area being studied, from local to global. Cartographic scale refers to the level of detail and accuracy represented on a map.
What is the area of a blueprint if the actual area is 54m?
It depends on the scale of the blueprint.
Why do you need a scale on a map and how do you use it?
A scale on a map helps you understand the relationship between distances on the map and the actual distances on the ground. It allows you to make accurate measurements and estimates of distances when planning a journey or understanding the size of an area. To use it, simply match the scale on the map with a ruler or measuring tape to determine the actual distance on the ground.
