How can you decompose the composite figure to determine its area?


A) As a circle, three rectangles, and a triangle


B) As a circle, a trapezoid, and four triangles


C) As a semicircle, three rectangles, and a square


D) As a semicircle, a trapezoid, and two rectangles

How can you decompose the composite figure to determine its areaA As a circle three rectangles and a triangle B As a circle a trapezoid and four trianglesC As a class=

Respuesta :

Answer:

It is D.

Step-by-step explanation:

From the top down we can split it into:

1 semicircle

1 trapezoid

2 rectangles.

Answer: D) As a semicircle, a trapezoid, and two rectangles.

Step-by-step explanation:

In order to find the area of the composite figure provided, it is necessary to descompose it.

Observe the image attached.

You can observe that it can descomposed as:

1- A semicircle, whose area can be calculated with this formula:

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

Where r is the radius.

2- A trapezoid,  whose area can be calculated with this formula:

[tex]A=\frac{h}{2}(B+b)[/tex]

Where h is the height, B is the larger base and b is the minor base.

3- Rectangle.

4- Rectangle.

The formula for calculate the area of a rectangle is:

[tex]A=lw[/tex]

Where l is the lenght and w is the width.

Ver imagen luisejr77