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(geometry)
a trapezoid has an area of 10 square units what scale factor would be required to dilate the trapezoid to have an area of 90 square units

. 9
.6
.3
.1/3

Sagot :

A trapezoid has an area of 10 square units. The scale factor would be 3  to dilate the trapezoid to have an area of 90 square units.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor.

Let the linear scale factor be k.

The area scale factor is [tex]k^2[/tex]

We'll multiply the old area (10) by the area scale factor ([tex]k^2[/tex] ) to get the area of 90 square units

[tex]10 \times k^2 = 90\\\\k^2 = \frac{90}{10} \\\\k^2 = 9\\\\k = \sqrt{9} \\\\k = 3[/tex]approximately

Learn more about Scale Factor:

brainly.com/question/22644306

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