Question

Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plane: (–2, 2), (5, 2), (5, 6), (12, 0), (5, –6), (5, –2), (–2, –2). What is the area of the arrow he is painting? Enter your answer in the box.

Answer 1

70 square units

Explanation:

I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached.

The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:

Area of Arrow = Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 * base * height

Base is 12 units

Height is 7 units, so

Area of Triangle = 0.5 * 12 * 7 = 42

Now,

Area of Rectangle = length * height

Length is 7

Height is 4

Area of Rectangle = 7 * 4 = 28

Area of Arrow = 42 + 28 = 70 square units