A triangle with a perimeter of 43 units is the image of a triangle that was dilated by a scale factor of (4)/(3). Find the perimeter of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary. Answer: units

Question

A triangle with a perimeter of 43 units is the image of a triangle that was dilated by a scale factor of  (4)/(3). Find the perimeter of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary. Answer: units

Bytelearn · Accepted Answer

Calculate Scale Factor: To find the perimeter of the original triangle before dilation, we need to use the scale factor that was applied to the triangle to get the dilated image. The scale factor given is (4)/(3), which means that every length in the original triangle was multiplied by (4)/(3) to get the dilated triangle.Find Perimeter of Original Triangle: The perimeter of the dilated triangle is given as 43 units. To find the perimeter of the original triangle, we need to divide the perimeter of the dilated triangle by the scale factor. Calculation: Perimeter of original triangle = Perimeter of dilated triangle / Scale factor Perimeter of original triangle = 43 units / (4/3)Perform Division: Perform the division to find the perimeter of the original triangle. Calculation: Perimeter of original triangle = 43 units * (3/4) Perimeter of original triangle = 129/4 Perimeter of original triangle = 32.25 unitsRound to Nearest Tenth: Since the problem asks to round the answer to the nearest tenth if necessary, we round 32.25 to 32.3 units.

A triangle with a perimeter of $43$ units is the image of a triangle that was dilated by a scale factor of $\frac{4}{3}$ . Find the perimeter of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary. $\newline$ Answer: units

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A triangle with a perimeter of 434343 units is the image of a triangle that was dilated by a scale factor of 43 \frac{4}{3} 34​. Find the perimeter of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units

A triangle with a perimeter of $43$ units is the image of a triangle that was dilated by a scale factor of $\frac{4}{3}$ . Find the perimeter of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary. $\newline$ Answer: units