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A triangle with a perimeter of units is dilated by a scale factor of . Find the perimeter of the triangle after dilation. Round your answer to the nearest tenth, if necessary.Answer: units
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Q. A triangle with a perimeter of units is dilated by a scale factor of . Find the perimeter of the triangle after dilation. Round your answer to the nearest tenth, if necessary.Answer: units
- Understand Dilation Concept: Understand the concept of dilation in geometry. Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor determines how much larger or smaller the image will be compared to the original. In this case, the scale factor is , which means the new triangle will be three times larger than the original triangle.
- Calculate Dilated Triangle Perimeter: Calculate the perimeter of the dilated triangle.Since the scale factor is , we multiply the original perimeter by to get the new perimeter. The original perimeter is units.New perimeter = Original perimeter Scale factor = units units.
- Round to Nearest Tenth: Round the answer to the nearest tenth, if necessary.Since the new perimeter is a whole number, there is no need to round. The perimeter of the dilated triangle is units.
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