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: 93
- 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 a parallelogram, one interior angle measures 67°33′. Calculate the other interior 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 - The parallelogram
The perimeter of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of each side 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 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. - Parallelogram - sides One side of a parallelogram is 8 cm long, which is two-sevenths of its perimeter. Calculate the length of the other side of the parallelogram.
- Parallelogram Interior Angles
Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other. - 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 sides In the parallelogram ABCD, the side AB is three times longer than the side BC. The perimeter of the parallelogram is 20 cm. Find the lengths of the sides of the parallelogram.
- 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.
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