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Lesson 61: Area of a Parallelogram, Angles of a Parallelogram — Practice Questions

  1. 1. A parallelogram has a base of 12 inches, a height of 7 inches, and a slanted side of 9 inches. The area of the parallelogram is ___ square inches.

  2. 2. A parallelogram-shaped garden plot has a base of 20 m and a slanted side of 13 m. The perpendicular distance from the base to the opposite side is 12 m. What is its height?

    • A. 20 m
    • B. 13 m
    • C. 12 m
    • D. 260 m
  3. 3. A piece of stained glass is cut in the shape of a parallelogram. Its base is 10 cm, its height is 6 cm, and its slanted side is 8 cm. What is its area in square cm? ___

  4. 4. A rectangular picture frame is 30 cm tall. If it is nudged and settles into a non-rectangular parallelogram shape, what is true about its new height?

    • A. The height is still 30 cm.
    • B. The height is now greater than 30 cm.
    • C. The height is now less than 30 cm.
    • D. The height cannot be determined.
  5. 5. A patio stone is shaped like a parallelogram with a base of 14 ft, a height of 9 ft, and a slanted side of 11 ft. Which calculation correctly finds its area?

    • A. $14 \times 11$
    • B. $14 \times 9$
    • C. $11 \times 9$
    • D. $14 + 11 + 14 + 11$
  6. 6. In parallelogram QRST, the measure of angle Q is $105^{\circ}$. What is the measure, in degrees, of the angle diagonally opposite to it, angle S? ___

  7. 7. A parallelogram has an angle measuring $80^{\circ}$. What is the measure of an adjacent angle?

    • A. $10^{\circ}$
    • B. $80^{\circ}$
    • C. $100^{\circ}$
    • D. $280^{\circ}$
  8. 8. In parallelogram DEFG, the measure of angle D is $(4y - 20)^{\circ}$ and the measure of its opposite angle F is $(2y + 10)^{\circ}$. Find the value of $y$. ___

  9. 9. In parallelogram WXYZ, angles W and X are adjacent. If $m\angle W = (x + 15)^{\circ}$ and $m\angle X = (3x + 5)^{\circ}$, what is the measure of angle W?

    • A. $40^{\circ}$
    • B. $55^{\circ}$
    • C. $125^{\circ}$
    • D. $180^{\circ}$
  10. 10. In parallelogram ABCD, $m\angle A = (3x + 10)^{\circ}$ and $m\angle C = (5x - 50)^{\circ}$. What is the measure of angle B?

    • A. $30^{\circ}$
    • B. $80^{\circ}$
    • C. $100^{\circ}$
    • D. $120^{\circ}$