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A square with a perimeter of 39 units is dilated by a scale factor of 
(4)/(3). Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.
Answer: units

A square with a perimeter of 3939 units is dilated by a scale factor of 43 \frac{4}{3} . Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units

Full solution

Q. A square with a perimeter of 3939 units is dilated by a scale factor of 43 \frac{4}{3} . Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units
  1. Calculate Side Length: Calculate the side length of the original square.\newlineSince the perimeter of a square is four times the length of one side, we divide the given perimeter by 44 to find the side length.\newlinePerimeter of original square = 3939 units\newlineSide length of original square = 3939 units // 44\newlineSide length of original square = 9.759.75 units
  2. Apply Dilation Scale Factor: Apply the dilation scale factor to the side length to find the new side length.\newlineThe scale factor is (4)/(3)(4)/(3), so we multiply the original side length by this factor.\newlineNew side length = 9.759.75 units (4)/(3)*(4)/(3)\newlineNew side length = 1313 units (since 9.75×4=399.75 \times 4 = 39 and 39/3=1339 / 3 = 13)
  3. Calculate New Perimeter: Calculate the perimeter of the new square.\newlineThe perimeter of a square is four times the length of one side, so we multiply the new side length by 44.\newlinePerimeter of new square = 4×4 \times New side length\newlinePerimeter of new square = 4×134 \times 13 units\newlinePerimeter of new square = 5252 units

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