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A rectangle with a perimeter of 43 units is dilated by a scale factor of
(3)/(4). Find the perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if necessary.
Answer: units

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

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Scale drawings: word problems

Full solution

Q. A rectangle with a perimeter of

43

units is dilated by a scale factor of

\frac{3}{4}

. Find the perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if necessary.

\newline

Answer: units

Understand Relationship: Understand the relationship between the original perimeter and the perimeter after dilation. $\newline$ The perimeter of a shape after dilation is proportional to the original perimeter by the scale factor. This means that to find the new perimeter, we multiply the original perimeter by the scale factor.
Calculate New Perimeter: Calculate the new perimeter using the scale factor. $\newline$ The original perimeter is $43$ units, and the scale factor is $\frac{3}{4}$ . To find the new perimeter, we multiply $43$ by $\frac{3}{4}$ . $\newline$ New Perimeter = Original Perimeter $\times$ Scale Factor $\newline$ New Perimeter = $43 \times \left(\frac{3}{4}\right)$
Perform Multiplication: Perform the multiplication to find the new perimeter. $\newline$ New Perimeter = $43 \times \left(\frac{3}{4}\right) = 32.25$
Round Answer: Round the answer to the nearest tenth, if necessary. $\newline$ The new perimeter is $32.25$ units, which does not need to be rounded since it is already at the nearest tenth.

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