In the figure, the dashed line divides the arrow in half. What is the total area of the arrow? 60 square centimeters 68 square centimeters 80 square centimeters 82 square centimeters NextReset

Answer:

80 square centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The total area of the arrow is equal to the area of a rectangle plus the area of a triangle

step 1

Find out the area of the rectangle

The area of rectangle is equal to

[tex]A_1=LW[/tex]

we have

[tex]L=17\ cm\\W=4\ cm[/tex]

substitute

[tex]A_1=(17)(4)=68\ cm^2[/tex]

step 2

Find the area of triangle

The area of triangle is equal to

[tex]A_2=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=4+2+2=8\ cm\\W=20-17=3\ cm[/tex]

substitute

[tex]A_2=\frac{1}{2}(8)(3)=12\ cm^2[/tex]

step 3

The area of the arrow is equal to

[tex]A=A_1+A_2[/tex]

substitute the values

[tex]A=68+12=80\ cm^2[/tex]