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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

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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 $$k^2$$

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

$$10 \times k^2 = 90\\\\k^2 = \frac{90}{10} \\\\k^2 = 9\\\\k = \sqrt{9} \\\\k = 3$$approximately

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