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Ms. Hawkins wants to make awards for her students in the shape of pencils, using the design shown below. What is the area of the award to the nearest tenth of a square inch?

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fichoh

Answer:

74 in²

Step-by-step explanation:

Area of semicircle :

(πr²) ÷ 2

r = 3

(π * 9) / 2 = 14.137 in²

Area of triangle :

1/2 * base * height

Base = diameter = radius * 2 = 3 * 2 = 6

height = 4 inches

1/2 * 6 * 4 = 12in²

Area of rectangle :

Length * width

8in * 6 in

= 48 in²

Total area of pencil :

(14.137 + 12 + 48) in²

= 74.137 in²

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