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Home > CCG > Chapter 4 > Lesson 4.1.4 > Problem 4-44


This problem is a checkpoint for finding areas and perimeters of complex shapes. It will be referred to as Checkpoint 4.  

For each figure below, find the area and the perimeter.

  1. Parallelogram
    A parallelogram with bottom and top sides each 16 cm and left and right sides each 10 cm. A right triangle is created by a line segment of 9 cm.

  1. Trapezoid
    A trapezoid with bottom base 44.67 m and top base 25 m, left side 21 m and right side 24 m. A right triangle is created by a line segment of 20 m drawn from the upper left vertex to the base at right angles.

  1. An enclosed figure: Starting at the upper left corner: right 12 centimeters, down 2 centimeters, left 3 centimeters, down 5 centimeters, right 3 cm, down an unknown amount, left 9 centimeters, up 7 centimeters, left an unknown amount, up 2 centimeters to enclose the figure.

  1. A trapezoid has a bottom base, 23 feet. The two sides are each 10 feet. The top base spans 11 feet, but 4 feet from both ends is an indention of 3 feet long by 2 feet wide rectangle removed from the top of the trapezoid.  A right triangle is created by a line segment of 8 feet drawn from the upper right vertex perpendicular to the base.

Check your answers by referring to the Checkpoint 4 materials located at the back of your book.

Ideally, at this point you are comfortable working with these types of problems and can solve them correctly. If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 4 materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.

Answers and extra practice are located in the back of your printed textbook or in the Reference Tab of your eBook.
If you have an eBook for CCG, login and then click the following link: Checkpoint 4: Finding the Areas and Perimeters of Complex Shapes