This figure consists of a rectangle and semicircle.
what is the perimeter of this figure?
use 3.14 for pi.

19.42 cm

20.28 cm

23.42 cm

32.84 cm

The perimeter of the figure is

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of

Step 1

Find the perimeter of rectangle

The perimeter of rectangle is equal to

In this problem we have

substitute

Step 2

Find the circumference of a semicircle

The circumference of a semicircle is equal to

we have

-----> the radius is half the diameter

substitute

Step 3

Find the perimeter of the figure

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions