Respuesta :

Answer:

D. 102.6 in²

Step-by-step explanation:

The area of the square is 9 in² (3 × 3 = 9)

The area of the rectangle is 30 in² (3 × 10 = 30)

The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)

Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.

Hope this helps!

Answer:

Option D

Step-by-step explanation:

Square:

side = 3 in

[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]

                        = 3*3

                        = 9 square inches

Rectangle:

length = 10 in

width = 3 in

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                            = 10 *3

                           = 30 inches

Circle:

diameter = 9 in

radius = 9 ÷ 2 = 4.5 in

[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]

                       = 3.14 * 4.5 *4.5

                        = 63.6 square inches

Total area = area of square + area of rectangle + area of circle

                  = 9 + 30 + 63.6

                  = 102.6 square inches