A square with a perimeter of 39 units is dilated by a scale factor of 34. Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.Answer: units
Q. A square with a perimeter of 39 units is dilated by a scale factor of 34. Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.Answer: units
Calculate Side Length: Calculate the side length of the original square.Since the perimeter of a square is four times the length of one side, we divide the given perimeter by 4 to find the side length.Perimeter of original square = 39 unitsSide length of original square = 39 units /4Side length of original square = 9.75 units
Apply Dilation Scale Factor: Apply the dilation scale factor to the side length to find the new side length.The scale factor is (4)/(3), so we multiply the original side length by this factor.New side length = 9.75 units ∗(4)/(3)New side length = 13 units (since 9.75×4=39 and 39/3=13)
Calculate New Perimeter: Calculate the perimeter of the new square.The perimeter of a square is four times the length of one side, so we multiply the new side length by 4.Perimeter of new square = 4× New side lengthPerimeter of new square = 4×13 unitsPerimeter of new square = 52 units
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