Question Number 171594 by help12345 last updated on 18/Jun/22
$$ \\ $$charis wants to resize a 4 inch by 6 inch photo by a factor of 4/3. what are the dimensions of the new photo?
Answered by nikif99 last updated on 19/Jun/22
$${Multiply}\:{each}\:{dimension}\:{by}\:\sqrt{\frac{\mathrm{4}}{\mathrm{3}}} \\ $$$${New}\:{height}=\mathrm{4}\centerdot\sqrt{\frac{\mathrm{4}}{\mathrm{3}}}=\frac{\mathrm{8}\sqrt{\mathrm{3}}}{\mathrm{3}} \\ $$$${New}\:{width}=\mathrm{6}\centerdot\sqrt{\frac{\mathrm{4}}{\mathrm{3}}}=\mathrm{4}\sqrt{\mathrm{3}} \\ $$$${Resized}=\left(\frac{\mathrm{8}\sqrt{\mathrm{3}}}{\mathrm{3}}\right)\centerdot\left(\mathrm{4}\sqrt{\mathrm{3}}\right)=\mathrm{32} \\ $$