The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is
closest to the perimeter of the shape? (The dashed line is not a part of the perimeter.
(1) 56.1
(2) 44.6
(3) 38.3
(4) 32.5

The shape shown consists of three sides of a rectangle together with a semicircle Which of the following is closest to the perimeter of the shape The dashed lin class=

Respuesta :

Answer:

The perimeter of the figure is 32.5 (4)

Step-by-step explanation:

Let us solve the question

From the given figure

∵ The perimeter of the figure is the sum of the 3 sides of the rectangle

   and the length of the circumference of the semicircle

P = W + L + W + [tex]\frac{1}{2}[/tex] C, where W is the width, L is the length, and C is the

   circumference of the circle

W = 3.4 and L = 10

∵ C = π d, d is the diameter of the

∵ The diameter of the circle equal to the length of the rectangle

d = L = 10

C = π(10) = 10π

→ Substitute the values of W, L, and C in the rule of the perimeter above

P = 3.4 + 10 + 3.4 + [tex]\frac{1}{2}[/tex] (10π)

→ Use π = 3.14

∴ P = 3.4 + 10 +3.4 + 15.7

P = 32.5

The perimeter of the figure is 32.5

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