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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