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).
Instructions: Solve each problem carefully and provide a detailed solution for every item.
Number of problems found: 90
- Parallelogram - simple
One side and its corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram. - Two angles
If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle 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. - Parallelogram - angles In a parallelogram ABCD, if angle alpha measures ∠A = 70°, find all the other angles.
- Piece of land A farmer has a piece of land in the shape of a parallelogram. The two adjacent sides measure 15 metres and 10 metres. How much fencing is needed to enclose the entire plot?
- Parallelogram - right angles In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- Parallelogram Angles
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D? - Parallelogram
In the parallelogram, we know one internal angle of 67°33`. Calculate the other internal angles. - 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 - 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 - sides
In a parallelogram, we know the length of one side. Calculate the length of the other side: o = 15 cm; a = 3 cm - 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 43
A parallelogram has a perimeter of 20.4 cm. One of its sides is 5.5 cm long. Calculate the length of the other side. - 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 - 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 angle size
How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others? - 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 side ratio
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. - Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths.
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