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.
Area of plane figure
The surface area of a space figure is the total area of all the faces of the figure
Area = length x width
The areas will be proportional to (scale)2
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
The area changes by the square of the same factor.
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.
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
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)
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.
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.
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.
The remaining figure is the are of polygons that bounded by three dimensional figure .
Area of plane figure
The surface area of a space figure is the total area of all the faces of the figure
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
It depends on the type of figure. If it is a 2D figure, then it is called area. If it is a 3D figure, then it is called volume.