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No, you cannot simply multiply the original area by the scale factor to get the new area. Instead, you need to square the scale factor and then multiply it by the original area. This is because area is a two-dimensional measurement, so any change in dimensions must be applied in both directions. For example, if the scale factor is 2, the new area will be 2² = 4 times the original area.
What else can I help you with?
How does the area change when you have a scale factor of 2?
When the scale factor is 2, the area of a shape increases by a factor of the square of the scale factor. Therefore, if the original area is ( A ), the new area becomes ( 2^2 \times A = 4A ). This means the area quadruples when the dimensions of the shape are scaled by a factor of 2.
What does the scale factor between two similar figures tell you about the given measurement perimeters?
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
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 does the scale factor apply to the area?
The areas are related by the square of the scale factor.
How can you use scale factor to find a new perimeter and area?
New perimeter = old perimeter*scale factor New area = Old area*scale factor2
How does scale factor relate to area?
If the scale factor is r, then the new area will be the area of the original multiplied by r^2
What happens to the area of a figure when the scale of the figure changes?
To find the new area, you have to multiply the original area by the square of the scale change. For example, you have a rectangle with adjacent sides of 3 and 4. Another rectangle has the same dimensions but with triple the scale. The original rectangle's area is 12. Multiply that by 9, which is the square of the new scale, and you get an area of 108. That matches up with the area of the new rectangle, which has adjacent sides of 12 and 9.
If someone enlarged a drawing by a scale factor of 3 and got 396 cm squared what was the original drawing?
The scale factor is usually stated as a linear enlargement factor. Therefore, the area enlargement factor is the square of the scale factor, in this instance, 9. The area of the original drawing was thus 396/9 = 44 cm2.
What does the scale factor between two similar figures tell you about the given measurement perimeters?
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
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 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
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 does the scale factor apply to the area?
The areas are related by the square of the scale factor.
For parts ac what does the scale factor between two similar figures tell you about the given measurements a side lengths b perimeter c areas?
For a, it tells you how many times the side lengths grew or shrunk.For b, it tells you that the perimeter grows or shrinks: scale factor times original perimeter.For c, it tells you that the area grows or shrinks: scale factor squared times the original area.
How can you use scale factor to find a new perimeter and area?
New perimeter = old perimeter*scale factor New area = Old area*scale factor2
How do you determine surface area of similar objects when it has a scale factor of 2?
For areas: Square the Scale Factor.
What do you have to do to the scale factor to get the area ratio?
Square it.
