Answer:
P = 40.56 ft
Step-by-step explanation:
P = 2l + w + πd / 2
where
P = perimeter of whole shape
l = length of rectangle ( longer side ) = 10 ft
w = width of rectangle ( shorter side ) = 8 ft
π = 3.14 ( approximation of π )
d = diameter of circle = 8 ft
▪ 2l is used as there are 2 lengths of the rectangle as a part of the perimeter.
▪ Only w is used instead of 2w as only one of the widths of the rectangle is a part of the perimeter.
▪ 3.14 will be used as a substitute for π as the question requires it.
▪ πd will be divided by 2 as only half of the circle is a part of the perimeter.
Sub in the values of each letter into the created equation for P.
P = 2 ( 10 ) + ( 8 ) + ( 3.14 )( 8 ) / 2
P = 20 + 8 + 25.12 / 2
P = 28 + 12.56
P = 40.56 ft