A rectangle with a perimeter of 126 units is the image of a rectangle that was dilated by a scale factor of (1)/(2). Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary. Answer: units

Understand Relationship: To find the perimeter of the original rectangle, we need to understand the relationship between the perimeters of similar figures. The perimeter of a figure after dilation is proportional to the scale factor. Since the scale factor is 1/2, the perimeter of the original rectangle would be twice the perimeter of the dilated rectangle.Calculate Original Perimeter: Calculate the perimeter of the original rectangle by multiplying the perimeter of the dilated rectangle by 2 (the reciprocal of the scale factor 1/2). Perimeter of original rectangle = Perimeter of dilated rectangle × 2 Perimeter of original rectangle = 126 units × 2Perform Multiplication: Perform the multiplication to find the perimeter of the original rectangle. Perimeter of original rectangle = 252 units

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A rectangle with a perimeter of 126 units is the image of a rectangle that was dilated by a scale factor of
(1)/(2). Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
Answer: units

A rectangle with a perimeter of $126$ units is the image of a rectangle that was dilated by a scale factor of $\frac{1}{2}$ . Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary. $\newline$ Answer: units

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Q. A rectangle with a perimeter of

126

units is the image of a rectangle that was dilated by a scale factor of

\frac{1}{2}

. Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.

\newline

Answer: units

Understand Relationship: To find the perimeter of the original rectangle, we need to understand the relationship between the perimeters of similar figures. The perimeter of a figure after dilation is proportional to the scale factor. Since the scale factor is $\frac{1}{2}$ , the perimeter of the original rectangle would be twice the perimeter of the dilated rectangle.
Calculate Original Perimeter: Calculate the perimeter of the original rectangle by multiplying the perimeter of the dilated rectangle by $2$ (the reciprocal of the scale factor $\frac{1}{2}$ ). $\newline$ Perimeter of original rectangle = Perimeter of dilated rectangle $\times 2$ $\newline$ Perimeter of original rectangle = $126$ units $\times 2$
Perform Multiplication: Perform the multiplication to find the perimeter of the original rectangle. $\newline$ Perimeter of original rectangle = $252$ units