Mathematics, 04.08.2019 09:50 j4ckd4ws
Saquina dilates a digital photograph by a factor of 1.75 to create a new digital photograph similar to her original photograph. the perimeter of saquina's new photograph is times larger than the perimeter of her original photograph, and the area of her new photograph is times larger than the area of her original photograph.
Answers: 1
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{7}{4}\implies \cfrac{4+3}{4}\implies \cfrac{4}{4}+\cfrac{3}{4}\implies 1+\boxed{\cfrac{3}{4}}\impliedby \textit{perimeter is }\frac{3}{4}\textit{ larger} \\\\\\ \stackrel{areas'~ratio}{\cfrac{s^2}{s^2}}\implies \cfrac{3^2}{4^2}\implies \cfrac{9}{16}\impliedby \textit{area is }\frac{9}{16}\textit{ larger than original}](/tpl/images/0169/0056/388d2.png)
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