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Area is proportional to the square of the linear dimensions. If the linear dimensions are doubled, the area is increased by a factor of 22 = 4. The new area is 9 x 4 = 36 square inches.

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Q: A triangle is dilated with a scale factor of 2 If the area of the original triangle is 9 square inches what is the area of the image in square inches?
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Carey drew an equilateral triangle with a perimeter of 45 inches. He dilated the triangle by a scale factor of 0.6. What is the length of each side of the image of the dilated triangle?

Ok if the triangle is equilateral then all the sides have to have the same length. Since the perimeter is 45 inches that means each side is 15 inches. 45 / 3 = 15 Now if he dilates the triangle by a scale factor of 0.6 we have to multiply the length of each side by 0.6. 15 * 0.6 = 9 So the answer is 9 inches


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