Parallelogram practice problems - page 2 of 5
Formulas for calculating area and perimeter:
- Perimeter O = 2(a + b)
- Area S = a · v_a (where v_a is the height to side a )
Types of parallelograms:
- Rhombus – all sides are the same length, diagonals perpendicular.
- Rectangle – all angles right, diagonals equal.
- Square – all sides equal and all angles right
Instructions: Solve each problem carefully and provide a detailed solution for every item.
Number of problems found: 90
- Corresponding height
Calculate the height corresponding to the side of the parallelogram ABCD if the side is 7.4 cm long and the area of the parallelogram is 33.3 cm2 - Parallelogram height side
The area of the parallelogram is 10.24 m2, and its side is 25.6 m. Find the height to this side. - 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. - Parallelogram width calculation
How wide is the parallelogram-shaped garden when its area is 1378 m2, and its longer side measures 53 m? - Parallelogram sides
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. - 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. - Parallelogram - sides
A parallelogram has a perimeter of 30 cm and heights of 10 cm and 6 cm. Find the lengths of its sides. - The parallelogram
The parallelogram has one side 2 dm long, which is one-sixth of its circumference. How many cm does the other side of the parallelogram measure? - Parallelogram Sides Length Ratio
The circumference of the parallelogram is 486 cm. The length of one side is 1.7 times the length of the shorter side. How long are the sides of the parallelogram? - Parallelogram Side Heights The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6cm, va = 3cm, vb = 4cm
- Parallelogram Interior Angles Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other.
- The farmer field
The field has a parallelogram shape with dimensions side a = 67 m and height 387 m. Two and two sides are at an angle 67°. Calculate the acreage of the field in hectares. - Parallelogram perimeter area The parallelogram has side a = 58cm and diagonals u = 89cm and v = 52cm. Calculate the perimeter and area of this parallelogram.
- Colour - billboard
Shelftalker has the shape of a parallelogram. Its length is 4.9 m, and its corresponding height is 3.5 meters. Calculate how much (kg) paint must be purchased for redecoration if 1 kg covers 4 m² of shelf talker surface. - Parallelogram drawing exercise
Draw an ABCD brassier if a = 4.8cm b = 3.5cm and va = 2.9cm - Parallelogram - two sides The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72°. Calculate the area of the parallelogram.
- Railing 3
A railing in a museum is filled with 18 glass plates in the shape of a parallelogram with a side length of 40cm and a corresponding height of 65cm. How many m² of glass were needed to produce these fillings? - Parallogram
The Parallelogram base is 24 cm and high at 10 cm. How many tiles are required to cover a floor with an area of 1080 m²? - Parallelogram - sides L In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area.
- Parallelogram - side
Calculate the length of the side of a parallelogram whose area is 128 dm² and height to that side is 27.7 dm long.
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