Question

At the school carnival, the sixth graders are making directional arrows, as shown below.

A polygon shaped like an arrow is shown. The total height of the arrow head and the arrow tail is 7 inches. The base of the arrow tail is 4 inches. The width of the arrow is 6 inches, and the height of the tail of the arrow is 5 inches.

Each arrow is to be painted red. How much area needs to be painted for 1 arrow?

26 square inches
28 square inches
32 square inches
42 square inches

Answer 1

Area of a rectangle:
\(A_\text{rectangle}=bh\)

Area of a triangle:
\(A_\text{triangle}=\dfrac{1}{2}bh\)

plug in the values for each and add them together, so

\(A_\text{arrow}=bh+\dfrac{1}{2}bh\)

Answer 2

The relevant image: