Question

$\text{A rectangular sheet of paper sheet is of the given}$ $\text{dimensions. What will the new dimensions of}$ $\text{the rectangular sheet (in inches) be after a cut}$
$\text{if the scaling factor is}\frac{2}{3}$?

• A. Length = 24; Width = 12
• B. Length = 12; Width = 24
• C. Length = 28; Width = 12
• D. Length = 24; Width = 14

Answer 1

The correct option is A Length = 24; Width = 12

$\text{Given,}$

$\text{Length of the sheet of paper = 36 inches}$

$\text{Width of the sheet of paper = 18 inches}$

$\text{The paper is cut by a factor of}\frac{2}{3}$.

$\text{It means that the length and width of the}$
$\text{paper are decreased by}\frac{2}{3}$.

$\text{New length of the paper}=\text{Length}\times \frac{2}{3}$

$=36\times \frac{2}{3}$

$=24$

$\text{New width of the table}=\text{Width}\times \frac{2}{3}$

$=18\times \frac{2}{3}$

$=12$

Hence, the new length and width of the paper are 24 inches and 12 inches, respectively.