Area of parallelogram quiz Grade 6 with answers

📚 Quick Study Guide

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• Definition: A parallelogram is a quadrilateral (a four-sided shape) with two pairs of parallel sides.
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• Base and Height: The base of a parallelogram is any one of its sides. The height is the perpendicular distance from the base to the opposite side.
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• Area Formula: The area of a parallelogram is calculated by multiplying the base by the height. $Area = base \times height$
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• Important Note: The height is NOT the length of the slanted side; it's the perpendicular distance.
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• Units: Remember to use the same units for both base and height. The area will be in square units (e.g., $cm^2$, $m^2$).

Practice Quiz

1. What is the area of a parallelogram with a base of 8 cm and a height of 5 cm?
   1. 20 $cm^2$
   2. 40 $cm^2$
   3. 13 $cm^2$
   4. 85 $cm^2$
2. A parallelogram has an area of 48 $m^2$ and a base of 6 m. What is its height?
   1. 6 m
   2. 7 m
   3. 8 m
   4. 9 m
3. If the height of a parallelogram is 10 cm and its area is 150 $cm^2$, what is the length of its base?
   1. 5 cm
   2. 10 cm
   3. 15 cm
   4. 20 cm
4. What happens to the area of a parallelogram if both the base and height are doubled?
   1. Area remains the same.
   2. Area is doubled.
   3. Area is tripled.
   4. Area is quadrupled.
5. A parallelogram has a base of 12 cm and a height that is half the length of the base. What is its area?
   1. 36 $cm^2$
   2. 72 $cm^2$
   3. 144 $cm^2$
   4. 288 $cm^2$
6. The area of a parallelogram is 60 $cm^2$. If the base is 10 cm, what is the height?
   1. 4 cm
   2. 5 cm
   3. 6 cm
   4. 7 cm
7. Which of the following is NOT a property of a parallelogram?
   1. Opposite sides are equal.
   2. Opposite angles are equal.
   3. Diagonals bisect each other.
   4. All angles are right angles.