Answer:
[tex]52+12\pi[/tex]
Step-by-step explanation:
The diagram for the question is attached below
perimeter of the triangle is 28 feet
area of a square is 144 feet
Area of the square is side^2
[tex]side ^2= 144[/tex]
take square root on both sides
side = 12
side of the square = 12
side is the diameter of the semicircle
Diameter = 12 , so radius = 12 divide 2 = 6
circumference of semicircle = [tex]2\pi r=2\pi (6)=12\pi[/tex]
one side of the rectangle is calculated in the perimeter of triangle and other side is calculated using circumference
perimeter of other two side = 2(12)= 24
Total perimeter = [tex]28+24+12\pi =52+12\pi[/tex]
