Rhomboid practice problems
A rhombus is a quadrilateral with all four sides of equal length, where opposite sides are parallel and opposite angles are equal. It is a special type of parallelogram (and also a special case of a kite and a parallelogram).If all angles are right angles (90°), then the rhombus is also a square.
Task: Work through each problem with care and demonstrate your solution process for each one.
Number of problems found: 48
- Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - Triangle area proof
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same. - Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Rhomboid
The rhomboid sides' dimensions are a= |AB|=5 cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC? - Rhombus height calculation
Calculate the height of the rhombus ABCD on the side a if a = 58 dm and its area is 49.3 m2 - Forces
Forces with magnitudes F1 = 42 N and F2 = 35 N act at a common point and make an angle of 77°12'. How big is their resultant? - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7 cm, BC=5.5 cm, and the height of the first side on AB=4.4 cm. - Rhombus calculation complete The rhombus has the dimensions a = 9.1 cm; b = 8 cm; height to side a: va = 7.3 cm. Calculate the perimeter, area, and size of the second height.
- Rhombus perimeter
Calculate the perimeter of a rhombus, one side of which is 6 cm long, and the height of this side is 2 cm long. The height on the other side is 4 cm long. - Rhombus Side Length Calculate the length of a side of a rhombus if you know that the perimeter of the rhombus is 19.88 mm and one side is 4.34 mm long.
- Parallelogram
Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in centimeters. - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Parallerogram
The ABCD parallelogram is a = 2.5 cm, height to side a is 7.2 cm and height to side b is 4 cm. Find the side length b. - Grass seed How many kilograms of grass seed are needed to establish a lawn on a rhombus-shaped plot of land with sides of 55 m and 40 m, if the height to the shorter side is 22 m and 1 kg of seed is sufficient for 40 m²?
- Parallelogram
Side a of a parallelogram is twice longer than side b. Its perimeter is 78 dm. Calculate the length of the sides of a parallelogram. - Fence boards
The fence around the garden is made of rhombus-shaped laths with a side 30 cm long and 1.6 m high. How many square meters of boards are needed to make a fence of 300 laths? - Rhombus - ratio In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side.
- Rhombus Parquet Room Area
The parquet floors in the room have the shape of a rhombus with a side of 2.5 dm long and a corresponding height of 0.8 dm long. How many square meters does a room have if its floor is made of 600 parquets? - Rhombus Parquet Floor Area The parquet floors in the room have the shape of a rhombus with a side of 2.3 dm long and a corresponding height of 0.9 dm long. How many square meters does the room have if its floor comprises 580 parquets?
- Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus.
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