Parallelogram practice problems
A parallelogram is a quadrilateral that has two pairs of parallel sides.Properties of a parallelogram:
1. Opposite sides are parallel and of the same length.
2. Opposite angles are congruent.
3. Adjacent angles are supplementary (sum = 180°).
4. Diagonals bisect each other** (intersect in the middle).
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 88
- Parallelogram - simple
One of the sides and the corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram.
- Use the formula for area
A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides.
- A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
- Two angles
If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram.
- Parallelogram - angles
In a parallelogram ABCD, if angle alpha measures ∠A = 70°, find all the other angles.
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- Circumference parallelogram
Calculate the circumference and area of the parallelogram ABCD if side a = 72 cm, height v = 4.3 cm, and second side b = 6 cm.
- Parallelogram - sides
In a parallelogram, we know the length of one side. Calculate the length of the other side: o = 15cm; a = 3 cm
- Parallelogram ABCD
Calculate the area and perimeter of the ABCD parallelogram with side a = 2.7 m, height to side a - va = 0.8 m, and b = 1.9 m.
- Parallelogram
Calculate the area and perimeter of a parallelogram whose two sides are long a=18 cm b=14 cm and height ha = 2 cm long.
- Parallelogram - sides
One side of a parallelogram is 8 cm long, which is two-sevenths of its circumference. Calculate the length of the other side of the parallelogram.
- Parallelogram
Calculate the unknown side of a parallelogram if you know the perimeter o and one side: a) o = 7.2 cm; b = 1.8 cm b) o = 5.4 cm; a = 1.9 cm
- The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram?
- Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths.
- Parallelogram 43
A parallelogram has a perimeter of 20.4 m. One of its sides is 5.5 cm long. Calculate the length of the other side.
- Parallelogram 49281
The circumference of the parallelogram measures 2.8 m. The length of one of its sides is equal to one-seventh of the entire circumference. Calculate the sizes of the sides of this parallelogram.
- Circumference 3088
In the parallelogram ABCD, the side AB is three times longer than the side BC. The circumference of the parallelogram is 20 cm. Find the lengths of the sides of the parallelogram.
- Parallelogram - ratio
The lengths of the adjacent sides of a parallelogram are in the ratio 8:3. The shorter side is 4.2 cm long. Calculate the perimeter of the parallelogram.
- A perimeter
The perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find the lengths of the sides of the parallelogram.
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