GED Practice

GED Math Review: Perimeter and Area of Triangles and Quadrilateral


Questions:

  1. A rectangular room is 4.5 meters by 12 meters. What is the area of the room in square meters?
    • 27 m2
    • 33 m2
    • 48 m2
    • 54 m2
  2. The area of a square is 36 square inches. What is the length of a side of the square?
    • 6 in.
    • 9 in.
    • 18 in.
    • Cannot be determined from the given information.
  3. The city wants to preserve a rectangular mural that is 32 feet by 15 feet. One quart of protective covers 100 square feet. How many quarts should the city buy to cover the mural?
    • 4
    • 5
    • 6
    • 7
  4. The base and height of a rectangle are both doubled. What happens to the area of the rectangle?
    • It remains the same.
    • It is multiplied by 2.
    • It is multiplied by 4.
    • This cannot be determined from the given information.
  5. A contractor is tiling a kitchen floor that measures 12 feet by 18 feet. If each tile measures 2 feet by 3 feet, how many tiles are needed to cover the floor?
    Find the area of parallelogram CDEF.
    • 28.4 cm2
    • 31 cm2
    • 40 cm2
    • 49.6 cm2
  6. If figure ABEC is a rectangle, find the area of triangle ACD.
    • 27 m2
    • 45 m2
    • 66 m2
    • 90 m2
  7. Complete the equation that expresses the area of the figure below in terms of x. The area is A = __________x2.

Answers:


    1. DOK Level 1; Content Topic: Q.4.a
    The area of the rectangle is

    A = bh

    A = (4.5m)(12 m)
    A = 54m2

    2. DOK Level 1; Content Topic: Q.4.a
    The area of the square is
    A = s2

    A = 36 in2, and then s = 6 in

    3. DOK Level 2; Content Topic: Q.4.a
    The area of the mural is

    A = bh

    A = (15 ft) (32 ft)
    A = 480 ft2
    Each quart covers 100 ft2, so it will take 5 quarts of coating to complete the job.

    4. DOK Level 2; Content Topic: Q.4.a
    The area of a rectangle is

    A = bh.

    If the base and height are doubled, the area becomes
    A = (2b)(2h)
    A = 4bh.
    This is 4 times the original area.


    5. DOK Level 2; Content Topic: Q.4.a
    36
    The area of the floor is 216 square feet, and the area of each tile is 6 square feet. Since each dimension of a tile is a factor of the corresponding dimension of the floor and 216 divided by 6 is equal to 36, it will take 36 tiles to cover the floor.

    6. DOK Level 2; Content Topic: Q.4.a
    The area of the parallelogram is

    A = bh

    A = (8 cm)(5 cm)
    A = 40 cm2

    7. DOK Level 2; Content Topic: Q.4.a
    The area of the triangle is

    A = ½ bh

    A = ½ (15 m)(6 m)
    A = 45 m2

    8. 3/2 or 1.5 (DOK Level 2; Content Topic: Q.4.a)
    Divide the figure into a square and a right triangle. The area of the square is A = x2and the area of the triangle is

    A = ½ bh

    A = ½ (x)(x)
    A = ½ x2
    The total area is A = 3/2 x2.






    Reference:

    Complete Test Preparation for the GED Test 2014 by Steck-Vaughn