Find the area of the compound shape. use 3.14 for pi. 1. 26.1cm square 2
2. 125.1cm square 2
3. 68.5cm square 2
4. 28.3cm square 2

1. 26.1 cm²

Step-by-step explanation:

For area of semi circle

diameter = 6cm

radius = 6/2 = 3cm

Area of semi circle = 1/2 x pi x r²

= 1/2 x 3.14 x 3²

= 1.57 x 9

= 14.13 cm²

For area of rectangle,

length = 6cm

breadth = 2cm

Area = length x breadth

= 6 x 2

= 12cm²

Area of compound shape = 14.13 + 12

= 26.13 cm²

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!