Respuesta :

calculista

Answer:

see the explanation

Step-by-step explanation:

we know that

The area of the composite figure is equal to the area of a semicircle plus the area of a rectangle

step 1

Find the area of semicircle

The area of semicircle is

[tex]A=\frac{1}{2}\pi r^{2}\ units^2[/tex]

step 2

Find the area of rectangle

The area of rectangle is equal to

[tex]A=bh[/tex]

where

b is the base of rectangle (is the same that the diameter of semicircle)

h is the height of rectangle

[tex]b=2r\ units[/tex]

[tex]A=2rh\ units^2[/tex]

step 3

Find the area of the composite figure

Adds the areas

[tex]A=(\frac{1}{2}\pi r^{2}+2rh)\ units^2[/tex]

Answer:

Here is rewritten version of the guy above

we know that

The area of the composite figure is equal to the area of a semicircle plus the area of a rectangle

step 1

Find the area of semicircle

The area of semicircle is

A = 1/2 x 3.14r^2 units^2

step 2

Find the area of rectangle

The area of rectangle is equal to

A = bh

where

b is the base of rectangle (is the same that the diameter of semicircle)

h is the height of rectangle

b = 2r units  

A = 2rh units^2

step 3

Find the area of the composite figure

Adds the areas

A = (1/2x3.14r^2 + 2rh) units^2