Question

A square has side length of 7.3 in. If the area is multiplied by 19, what happens to the perimeter?(please help)

Answer 1

The perimeter is multiplied by 1/3.

Step-by-step explanation:

Lucky guess on my quiz.

Answer 2

The Perimeter of the new shape is increased by a factor of 4.36

Step-by-step explanation:

We were given a square having a side length of 7.3in

`\begin{gathered} Area=length^2 \\ Area=7.3^2 \\ Area=53.29in^2 \\ \\ Per\imaginaryI meter=4* length \\ Per\imaginaryI meter=4*7.3 \\ Per\imaginaryI meter=29.2in \end{gathered}`

If the area is multiplied by 19. Given by:

`\begin{gathered} New\text{ }Area=53.29*19 \\ New\text{ }Area=1012.51in^2 \\ Length=√(1012.51) \\ Length=31.8in \end{gathered}`

The new side length is 31.8 inches

The new perimeter is given by:

`\begin{gathered} New\text{ }Perimeter=4*31.8new\text{ }length \\ Perimeter=127.2 \\ Perimeter=127.2in \end{gathered}`

We will proceed to check what happens to the perimeter as shown below:

`\begin{gathered} =\frac{New\text{ perimeter}}{Old\text{ perimeter}} \\ =(127.2)/(29.2) \\ =4.3562\approx4.36 \\ =4.36 \end{gathered}`

The Perimeter of the new shape is increased by a factor of 4.36