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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

Find The Perimeter And Total Area Of The Composite Shape Shown Below All Measurements Are Given In Inches Use A 314 In Any Formulas Used 4 8 4 4 8 4 O Perimeter class=

Sagot :

elcharly64

Answer:

Answer: (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:

[tex]A_c=\pi r^2[/tex]

The area of a square of side length x is:

[tex]A_s=x^2[/tex]

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

[tex]A_1=2\pi\cdot 4^2[/tex]

[tex]A_1=2*3.14* 16 =100.48\ in^2[/tex]

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

[tex]A_2=8^2=64 \ in^2[/tex]

The total area of the shape is

[tex]A=A_1+A_2=100.48+64=164.48\ in^2[/tex]

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

[tex]P=2*(2\pi r)=2*2*3.14*4=50.24\ in[/tex]

Answer: (Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

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