As the figure is made for 6 squares, the total area of the figure divided into 6 is the area of one square:

The area of one square is 15 square feet.
The area of a square is equal to the square lenght

Then, as the given squares have area of 15 square feet the measure of the lenght of one square is:
![\begin{gathered} 15ft^2=l^2 \\ \sqrt[]{15}ft=l \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ymag77uz8dnzkd5krvr820a6f7ijs1afxp.png)
Then, as each side of each square is square root of 15 feet you have the next:
The perimeter of the figure is the sum of all the sides: The figure has 12 sides: 2 sides have a measure of 2square root of 15 feet and the other 10 sides have a measure of square root of 15 feet:
![\begin{gathered} P=2(2\sqrt[]{15})ft+10(\sqrt[]{15})ft \\ \\ P=4\sqrt[]{15}ft+10\sqrt[]{15}ft \\ \\ P=14\sqrt[\square]{15}ft \\ \\ P=14.491ft\approx14.5ft \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/d3ksse2irgaglkvg9xh5r2c8q2zg4dgz18.png)
Then, the perimeter of the figure is 14.5 feet