Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use a = 3.14 in any formulas used. 4:
8
4
4
8
4
O Perimeter = 100.48 inches, Area = 164.48 square inches
O Perimeter = 50.24 inches, Area = 164.48 square inches
O Perimeter = 50.24 inches, Area = 264.96 square inches
O Perimeter = 12.56 inches, Area = 114.24 square inches

(Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

Step-by-step explanation:

Compound Shapes

The figure in the image can be split into four half circles and a square.

The area of a circle of radius r is:

The area of a square of side length x is:

Each semicircle has a radius of r=4 inches, thus the area of the four semicircles is twice the area of a circle:

The square has a side length of x=8 inches:

The total area of the shape is

The perimeter of the figure corresponds to the length of 4 semicircles or twice the length of a circle:

(Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

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