Question

What is the best estimate of the area of the figure at right?

Question 13 options:

28 square units


41 square units


54 square units


47 square units

Answer 1

47 square units

Hope this help don't forget to thanks

Answer 2

47 square units

Step-by-step explanation:

Hello, I think I can help you with this

to find the area of ​​the figure you can divide it into better known figures to find its area

According to the graph there is a rectangle and a half circle

`Area\ of\ rectangle\ = length*width\\Area\ of\ half\ circle\ = (\pi *radius^(2) )/(2)`

Step 1

find the area of the rectangle

let

length=7 units

width= 4 units

`Area\ of\ rectangle\ = length*width\\Area\ of\ rectangle\ =7\ units * 4\ units\\Area\ of\ rectangle\ =28\ units^(2)`

Step 2

find the area of the circle

Let

radius=3.5

`Area\ of\ half\ circle\ = (\pi *radius^(2) )/(2)\\Area\ of\ half\ circle\ = (\pi *(3.5 unit)^(2) )/(2)\\Area\ of\ half\ circle\ = (38.48\ unit^(2) )/(2)\\Area\ of\ half\ circle\ = 19.24\ unit^(2)`

Step 3

find the total area

the total area will be

total area= area of the rectangle+area of a half circle

replacing

`total\ area=28\ units^(2)+19.24\ units^(2)\\total\ area=47.24\ units^(2)\\ total\ area = 47\ square\ units`

have a nice day