Use the image to answer the question.
A polygon is shaped like a trapezoid attached to the top of a vertical rectangle. The length of the rectangle is 7.2 and the width is 6. The perpendicular height of the trapezoid is 3, marked with a dashed vertical line forming an extension of the rectangle to the top left vertex of the trapezoid. The part of trapezoid that extends outward and perpendicular to both sides of the rectangle measures 1.
Find the area of the polygon.
(1 point)
square units
Skip to navigation
To find the area of the polygon, we first find the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 7.2 x 6
Area of rectangle = 43.2
Next, we find the area of the trapezoid:
Area of trapezoid = 1/2 x (sum of bases) x height
Area of trapezoid = 1/2 x (6 + 1) x 3
Area of trapezoid = 1/2 x 7 x 3
Area of trapezoid = 10.5
Finally, we find the total area of the polygon by adding the area of the rectangle and the area of the trapezoid:
Total area = Area of rectangle + Area of trapezoid
Total area = 43.2 + 10.5
Total area = 53.7 square units
Therefore, the area of the polygon is 53.7 square units.