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If a figure i dilated by a cale factor of 10, the area of the figure will change by a factor of how much?

Sagot :

If a figure is dilated by a scale factor of 10, the area of the figure will change by a factor of 100.

What is meant by the term area?

The size of a two-dimensional form or a region in a plane is described by the mathematical notion of area. Square units like square inches, square feet, or square metres are frequently used figure to measure it. The total space a form takes up in a plane is known as its area. The length and breadth of the shape may be multiplied to compute it, or intricate forms like circles, triangles,  formulae can be used. Finding the dimensions of a form, calculating area ofcircle or rectangle, or  area of three-dimensional object are just a few of the many issues that may be solved using the geometry concept of area.

How to solve?

If a figure is dilated by a scale factor of 10, its area will change by a factor of 100.

When a figure is dilated, its area changes by the square of the scale factor. In this case, the scale factor is 10, so the area will change by a factor of 10^2 = 100.

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