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 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 + 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 + (10π)

→ Use π = 3.14

∴ P = 3.4 + 10 +3.4 + 15.7

∴ P = 32.5

∴ The perimeter of the figure is 32.5

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional