Find expert answers and community insights on IDNLearn.com. Join our Q&A platform to access reliable and detailed answers from experts in various fields.
Sagot :
Answer:
The Perimeter of the new shape is increased by a factor of 4.36
Explanation:
We were given a square having a side length of 7.3in
[tex]\begin{gathered} Area=length^2 \\ Area=7.3^2 \\ Area=53.29in^2 \\ \\ Per\imaginaryI meter=4\times length \\ Per\imaginaryI meter=4\times7.3 \\ Per\imaginaryI meter=29.2in \end{gathered}[/tex]If the area is multiplied by 19. Given by:
[tex]\begin{gathered} New\text{ }Area=53.29\times19 \\ New\text{ }Area=1012.51in^2 \\ Length=\sqrt{1012.51} \\ Length=31.8in \end{gathered}[/tex]The new side length is 31.8 inches
The new perimeter is given by:
[tex]\begin{gathered} New\text{ }Perimeter=4\times31.8new\text{ }length \\ Perimeter=127.2 \\ Perimeter=127.2in \end{gathered}[/tex]We will proceed to check what happens to the perimeter as shown below:
[tex]\begin{gathered} =\frac{New\text{ perimeter}}{Old\text{ perimeter}} \\ =\frac{127.2}{29.2} \\ =4.3562\approx4.36 \\ =4.36 \end{gathered}[/tex]The Perimeter of the new shape is increased by a factor of 4.36
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.
