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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.
What else can I help you with?
How do find the area of a plane figure?
Area of plane figure
How do you find the surface area of a space figure?
The surface area of a space figure is the total area of all the faces of the figure
How do you figure out the area of a rectangle?
Area = length x width
What does scale factor tell about the area of two similar figures?
The areas will be proportional to (scale)2
Is length x width area?
my idea is that to find the area of a 2 dimensional figure you have to multiply length *width which equal the area except a triangle and some other figure
What happens to surface area when dimensions are changed by a scale factor?
The area changes by the square of the same factor.
What is the scale factor that doubles the size of a figure is?
The scale factor that doubles the size of a figure is 2. When a figure is enlarged by a scale factor of 2, all its dimensions—such as length, width, and height—are multiplied by 2, resulting in a figure that has four times the area and eight times the volume of the original.
How is the perimeter and the size change factor related?
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
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. .
How do you find the surface area of similar figures?
To find the surface area of similar figures, you first need to determine the scale factor between the two figures. If the scale factor is ( k ), then the ratio of their surface areas will be ( k^2 ). Multiply the surface area of one figure by ( k^2 ) to find the surface area of the similar figure. This principle applies to any pair of similar shapes, regardless of their dimensions.
If volume of two similar figures are 729 mm cubed plus 2744 mm cubed if the surface area of the larger figure is 392 mm squared what is the surface area of the smaller figure?
To find the surface area of the smaller figure, we can use the relationship between the volumes and surface areas of similar figures. The volume ratio of the larger figure to the smaller figure is ( \frac{2744}{729} = \left(\frac{a}{b}\right)^3 ), where ( a ) is the linear dimension of the larger figure and ( b ) is that of the smaller figure. Taking the cube root gives the linear scale factor ( \frac{a}{b} = \frac{14}{9} ). The surface area ratio, which is the square of the scale factor, is ( \left(\frac{14}{9}\right)^2 = \frac{196}{81} ). Given the surface area of the larger figure is 392 mm², the surface area of the smaller figure is ( 392 \times \frac{81}{196} = 162 ) mm².
What scale factor doubles the size of a figure?
Depends what you mean by the "size" of the figure.To double the linear dimensions of the figure ===> Multiply the linear dimensions by 2.To double the area of the figure ===> Multiply the linear dimensions by sqrt(2). (1.4142)
How do you figure an acre that has four different length sides?
You cannot, without more information. To see this consider a quadrilateral made up of four lengths of wood, hinged at the four corners. There is no rigidity in the shape and it can be distorted easily. As that happens, the area changes.
What is an small earthquake intensity?
Earthquake intensity is measured using the Modified Mercalli Scale. That is basically a 'subjective' scale (as opposed to the Richter scale, which measures magnitude), because intensity is measured by the impact is is reported to have on people and their property, as reported by them. So a big earthquake like 8 on the Richter scale can have a low intensity if it happens in an area where few people live. A small earthquake can be high-intensity if it happens in a crowded area with many ramshackle houses.
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
How would you find the area of the remaining figure?
The remaining figure is the are of polygons that bounded by three dimensional figure .
