Use the image to answer the question.
An illustration shows an outline of a right arrow consisting of a rectangle and a triangular head to its right. The length of the rectangle is 4 and the width is 2. The right width of the triangle does not show a line. It forms the central part of the verticle base of the triangle. The other parts of the base are labeled 2 on the top and bottom each. The perpendicular height from the base to the top vertex of the triangle is labeled as 5.
An artist is planning to paint an arrow using the pattern shown. What is the amount of area in square feet that will be painted?
Explain why the Correct Answer
is the only Correct Answer
The correct answer is 14 square feet.
To find the total area of the arrow, we need to find the area of the rectangle and the area of the triangle, and then add them together.
Area of rectangle = length x width
Area of rectangle = 4 x 2 = 8 square feet
Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 4 x 5 = 10 square feet
Total area = area of rectangle + area of triangle
Total area = 8 + 10 = 18 square feet
The total area that will be painted is 18 square feet, not 14 square feet. 14 square feet is not the correct answer.