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

Answer:

47 square units

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

$Area\ of\ rectangle\ = length*width\\Area\ of\ half\ circle\ = \frac{\pi *radius^{2} }{2}$

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

$Area\ of\ half\ circle\ = \frac{\pi *radius^{2} }{2}\\Area\ of\ half\ circle\ = \frac{\pi *(3.5 unit)^{2} }{2}\\Area\ of\ half\ circle\ = \frac{38.48\ unit^{2} }{2}\\Area\ of\ half\ circle\ = 19.24\ unit^{2}$

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