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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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8y ago
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8y ago

The area is proportional to the square of the scale (to the square of any linear measurement). For example, if you increase the scale by a factor of 10, the area will increase by a factor of 10 squared = 100.

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Q: What happens to the area of a figure when the scale of the figure changes?
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The area changes by the square of the same factor.


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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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