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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.

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What happens to surface area when dimensions are changed by a scale factor?

The area changes by the square of the same factor.


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.


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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)


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.


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.


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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.


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The remaining figure is the are of polygons that bounded by three dimensional figure .


How do find the area of a plane figure?

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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


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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 space inside a figure called?

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